Questions on Word Problems: Geometry answered by real tutors!

Tutors Answer Your Questions about Geometry Word Problems (FREE)

Question 74330: The length of a rectangle is 2 in. more than twice its width. If the
perimeter of the rectangle is 34 in., find the dimensions of the rectangle.
Click here to see answer by checkley75(3666)

Question 74479: Diameter AB of circle O is 21 inches. Line AB is extended through B to a point C, and tangent Line CD is drawn, meeting the circle at D. CD is 6 inches longer than BC.
a) Let x represent BC. Express CD and CA in terms of x
b) Find BC
Click here to see answer by scott8148(6628)

Question 74621: The length of a rectangle is 3 in. more than twice its width. If the perimeter of the rectangle is 36 in., find the width of the rectangle.
Click here to see answer by ptaylor(2198)

Question 75344: A football field is a rectangle 300 ft long and 60 ft wide. The end zones add another 30ft of length at each end. How much greater is the perimeter of the field with the end zones than without them
Click here to see answer by josmiceli(19441)

Question 75470: Here is the question. I even know the answer. However, I do not know how to solve it.
"A woman walks home by traveling 20 meters north, 25 meters east, and then 5 more meters north. If she could walk home along a straight line, how many fewer meters would she need to walk? Round your answer to the nearest hundredth."
The answer is 14.64 meters.
Click here to see answer by checkley75(3666)

Question 75524: Hi - Please help. My son has a problem on a worksheet that I cannot help him figure out. An 18 Ft ladder is leaning against a wall. If the base of the ladder is 9 Ft from the wall, how far up the wall will the ladder reach? Thank You!!
Click here to see answer by checkley75(3666)

Question 75472: Concrete is sold by the yard, which means by the cubic yard. It costs $70 per yard. How many cubic feet are in a cubic yard? How much would it cost to pour a slab that is 14ft by 16ft by 6in for a patio?
Click here to see answer by checkley75(3666)

Question 75657: If the perimeter of a rectangle is 18ft and the width is 5ft, find its length.
Click here to see answer by jim_thompson5910(35256)

Question 75750: Solve the following problem showing your work.
Geometry. If the sides of a square are decreased by 2 cm, the area is decreased by 36 cm^2. What were the dimensions of the original square?

Click here to see answer by ankor@dixie-net.com(22740)

Question 75820: Question: The Hypotenuse of a right triangle exceeds the longer of the two legs by 2. If the perimeter of the triangle is 40, find the lengths of the sides of the triangle.
I came up with the answer, but I have to show an algebraic solution which I did not do.
Click here to see answer by jim_thompson5910(35256)

Question 75800: w..8
I need help understanding step by step i got them wrong for my homework so what is the right way to solve them.
Problem #6
Geometry. The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?Give all answers to the nearest thousandth.

Problem #22
Science and medicine. The equation gives the height of an arrow, shot upward from the ground with an initial velocity of 112 ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to
reach a height of 180 ft.Give all answers to the nearest thousandth.

Click here to see answer by ankor@dixie-net.com(22740)

Question 75837: "A" and "B" start from the same point and travel along the road that are right angles to each other. "A" travels 3 miles an hour faster than "B". At the end of 2 hours, they are 30 miles apart. Find their rates.

Click here to see answer by ankor@dixie-net.com(22740)

Question 75835: Geometry. The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?
I am needing some help with this, can you please help me? Thanks
Click here to see answer by ptaylor(2198)

Question 76022: A rectangular garden is to be surrounded by a walkway of width. The garden's dimensions are 30 ft by 40 ft. The total area, garden plus walkway, is to be 1800 ft^2. What must be the width of the walkway to the earest thousandth?
The answer I came up with is 5.430 ft. Is this correct? Thanks
Click here to see answer by ankor@dixie-net.com(22740)

Question 76317: A kite is flying at the end of a 300-foot string. It is 120 feet above the ground. About how far away horizontally is the person holding the string from the kite?
Click here to see answer by checkley75(3666)

Question 76472: An arch is semi-elliptical with a base that is 20 feet wide and a height at the center of 8 feet. How high is the arch 6 feet from the center of the base?
Click here to see answer by scott8148(6628)

Question 76904: Hi, I'm not sure if I chose the right topic, but anyways, I need help on a problem with a really strange equation. The problem states this: An object is thrown up into the air at a rate of 24 meters per second from a height of 2 meters. Given that the acceleration due to gravity is -9.8 meters per second squared, write an eqaution for the height of the object, h, in terms of the number of seconds since the object was thrown, t.
My teacher said to use this formula to write my eqaution: h=1/2gt^2+vt+h^0. The ^0 part of the eqaution is actually underneath the right hand side of the h, kind of like an underscore 0. I tried to plug in the numbers, but it did not come out right. I did: h=1/2(-9.8)t^2+24t+2. I was not sure what the underscore zero meant, so I left it out. Could you please help me write my equation? Thanks.
Click here to see answer by scott8148(6628)

Question 77328: Problem #6
Solve each of the following applications give answers to the nearest thoudandth.
The length of one leg of a rectangle is 1cm longer than its width. If the diagonal of the rectangle is 4cm, what are the dimensions (the length and the width) of the rectangle?
Click here to see answer by ptaylor(2198)

Question 77497: A rectangular picture window is 5 ft by 8 ft. Polly wants to put a trim molding around the window. How many feet of molding should she buy?
Click here to see answer by 303795(602)

Question 77613: Find the 10th term of the geometric sequence in which the first term is 3 and the 6th term is 96?
Click here to see answer by stanbon(75887)

Question 77613: Find the 10th term of the geometric sequence in which the first term is 3 and the 6th term is 96?
Click here to see answer by checkley75(3666)

Question 78032: The base of an isosceles triangle is 14 in. less than the length of the equal sides. If the perimeter of the triangle is 43 in., find the length of each of the sides.
Hint: An isosceles triangle has 2 sides of equal length. The third side is different.
Hint: To find the perimeter of a triangle, add all 3 sides.
Hint: Be sure to check your answer. Do all three sides add up?
Answer: The length of the three sides of the triangle are ________ inches, ________ inches, and __________ inches.

Show work:

Click here to see answer by ptaylor(2198)

Question 78060: A number is increased by 25% and the resulting number is then decreased by 20%. the final number is what percent of the original number?
-I used 100 as my original number, and when i increased it by 25% i got 125. when i proceeded to decrease that by 20% i got 105. that would put the final number being over 100% of the original number, but my answer key says 100% is the answer.
Click here to see answer by bucky(2189)

Question 78089: Sam must have an average of 70 or more in his summer course obtain a grade of C. His first three grades were 75, 63, and 68. Write an inequality representing the score that Sam must get on the last test to get a C grade.
Click here to see answer by stanbon(75887)

Question 78314: One number is 3 less than another. If 10 times the smaller number minus 4 times the larger number is 24, find the two numbers.
Click here to see answer by mathman409(67)

Question 78314: One number is 3 less than another. If 10 times the smaller number minus 4 times the larger number is 24, find the two numbers.
Click here to see answer by checkley75(3666)

Question 78311: The length of a rectangular garden is 8 ft less than 4 times its width. If the perimeter of the garden is 52 ft, find the dimensions of the garden.
Click here to see answer by checkley75(3666)

Question 78324: two-fifths x = -10
Click here to see answer by checkley75(3666)

Question 78321: Tickets for a play at the community theater cost $16 for an adult and $2 for a child. If 210 tickets were sold and the receipts were $2380, how many of each type of ticket were sold?
Click here to see answer by rmromero(383)

Question 78337: Hi.. need some help with this word problem that is part of a math chapter on Applications of the Pythagorean Theorem... thanks!
A homeowner wishes to insulate her attic with fiberglass insulation to conserve energy. The insulation comes in 40-cm wide rolls that are cut to fit between the rafters in the attic. The roof is 6 m from peak to eave and the attic space is 2 m high at the peak.
For the home described in this example, if the roof is 7 m from peak to eave and the attic space is 3 m high at the peak, how long does each of the pieces of insulation need to be? Round to the nearest tenth.

Click here to see answer by ankor@dixie-net.com(22740)

Question 78364: Solve each of the following applications. Give all answers to the nearest thousandth. Geometry. The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?

Click here to see answer by checkley75(3666)

Question 78365: Please help I do not know where to start or finish.
Business and Finance. The demand equation for a certain type of printer is given by:
D = -200p + 35,000
The supply equation is predicted to be:
S = -p^2 + 400p � 20,000
Find the equilibrium price.

Click here to see answer by dolly(163)

Question 78439: In the "firrst quater of the year" means Januryary,Febrruary, and March. The "second quater" is April,May,and June.

Achme Reaaltors sold 23 houses during the first quater of the year and again duyring the last quater. Sales during the middle quater was not quite as good, so that tht the annual sales was 57 houses. b &B realty compaly sold 50 homes during the second quater and hald that many during the forth quater, for a total annual sales of 75 homes. Arco sold as many houes during the thurd quater as B&B sold during the entire year, but during the other three quaters they did no better then b&b during the first quater. Toget the tgree cinoabues sikd 79 giyses during the third quater.
How many houses did the three companies sell during the second quater?
Click here to see answer by stanbon(75887)

Question 78507: If the sides of a square are decreased by 2 cm., the area is decreased by 36 cm^2. What were the dimensions of the original square?
Click here to see answer by ankor@dixie-net.com(22740)

Question 78768: CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Crane came out and gratefully thanked the traveling salesman for saving his daughter�s life. Mr. Crane insisted on giving the man an award for his heroism.
So, the salesman said, �If you insist, I do not want much. Get your checkerboard and place one grain of wheat on the first square. Then place two grains of wheat on the next square. Then place four grains on the third square. Continue this until all 64 squares are covered with grains of wheat.� As he had just harvested his wheat, Mr. Crane did not consider this much of an award, but he soon realized he made a miscalculation on the amount of wheat involved.

Click here to see answer by Edwin McCravy(20055)

Question 78784: the cost for long-distance telephone call is $0.36 for the first minute and $0.21 for each additional minute or portion thereof. Write an inequality representing the number of minutes a person could talk without exceeding $3.
Click here to see answer by checkley75(3666)

Question 78937: I need your help on this problem. a tree 40 feet high casts a shadow 68 feet long. Find the measure of the angle of elevation of the sun
Click here to see answer by stanbon(75887)

Question 79666: The length of a rectangle exceeds twice its width by 3inches. If the area is 10 square inches, find the rectangle's dimensions. Round to the nearest tenth of an inch.
Click here to see answer by ptaylor(2198)

Question 79832: The second angle of a triangle is three times the first, and the third is 5 degrees more than the first. Find the measures of the angles.
I have no idea where to start.Thanks soo much!
Click here to see answer by Earlsdon(6294)

Question 79829: A ball is thrown upward from the roof of a building 100 m tall with an initial velocity of 20 m/s. When will the ball reach a height of 80 m?
Click here to see answer by ankor@dixie-net.com(22740)

Question 79952: (2x-7)(5x^2-6x+3)
Click here to see answer by checkley75(3666)

Question 80182: Find the length of a chord that is 8 inches from the center of a circle with a radius of 17 inches.
Click here to see answer by stanbon(75887)

Question 80190: Alexis draws 300 circles with diameter 1, Brianna draws 400 squares with side length 1, and Cyril draws 500 equilateral triangles with side length 1. If they all draw with the same type of pen, who uses the most ink?
Click here to see answer by vertciel(183)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020