Questions on Word Problems: Geometry answered by real tutors!

Tutors Answer Your Questions about Geometry Word Problems (FREE)

Question 58324: The base of a ladder is 3 feet away from the wall. The top of the ladder is 14 feet from the floor. Find the length of the ladder to the nearest thousandth.
Thanks~
ac
Click here to see answer by Nate(3500)

Question 58255: A semicircle is placed on one side of a square so that its diameter coincides with a side of the square. Find the side length of the square if the total area of the square plus the semicircle is 200 square inches.
Click here to see answer by ankor@dixie-net.com(22740)

Question 58470: an airplane over the pacific sights an atoll at a 5 degree angle of depression. If the plane is 450 meters above water, how many kilometers is it from a point 450 meters above the atoll.
Click here to see answer by Edwin McCravy(20055)

Question 58533: A rectangle is twice as long as it is wide. If the length and width are each decreased by 4cm, the area is reduced by224cm squared. Find the dimensions of the original rectangle.
Click here to see answer by checkley71(8403)

Question 58530: A rectangle is twice as long as it is wide. if its length is increased by 6in and its width is incresed by 2in, its area is increased by 32in squared. find the original dimensions.
Click here to see answer by checkley71(8403)

Question 58768: To Whomever can assist... Thank you!
84)
If one-fourth of the complement of an angle plus one-fifth of the supplement of the angle equals 36 degrees, find the measure of the angle.
Click here to see answer by stanbon(75887)

Question 58813: Suppose that the length of a radius of a circle is the same as the length of a side of a square. If the circumference of the circle is 15.96 centimeters greater than the perimeter of the square, find the length of a radius of the circle. (Use 3.14 as an approximation for Pi.)
Click here to see answer by ankor@dixie-net.com(22740)

Question 58915: Locating the receiver for a radio telescope.
The U.S. Naval research Laboratory designed a giant radio telescope weighting 3450 tons. Its parabolic dish has a diameter of 300 feet and a depth of 44 feet
(a) find an equation in the form y=ax^2 that describes a cross section of this dish.
(b) if the receiver is located at the focus, how far should it be from the dish(vertex)?
Click here to see answer by stanbon(75887)

Question 59070: the distance between (2,3) and (6,0) is?
Click here to see answer by funmath(2933)

Question 59072: find the surface area in square centimeters of a rectangular solid 8 cm long, 5 cm wide, and 3 cm high?
Click here to see answer by rcmcc(152)

Question 59120: The length of a rectangle is 3 more than twice its width. The perimeter is 48 feet. Find the width. Hint: You did this in Module 3 Assignment 5. Now you have to write the equation and solve it.
a. 16
b. 7
c. 8
d. 21
e. 24

Click here to see answer by funmath(2933)

Question 59256: If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers?
I wrote for following expressions:
a =
b = a+6
c = 3(a+b)-4
I am unable to solve for the three angles. Your help is appreaciated.
Thank you.
Click here to see answer by armidano(1)

Question 59395: I am sooo stuck on this problem! I have attacked it from so many ways, and am getting more and more confused! PLEASE HELP! THANK YOU in advance!
A garden area is 30ft long and 20ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400 square ft, what is the width of the path?
Step by step help would be so wonderful! Thanks again!
ac
Click here to see answer by stanbon(75887)

Question 59545: Beth has 3,000 feet of fencing available to enclose a rectangular field. One side of the field lies along a river, so only three sides require fencing.
(a) Express the area A of the rectangle as a function of x, where x is the length of the side parallel to the river.
(b) Graph A = A(x) using a graphing utility. For what value of x is the area largest?
A wire of length x is bent into the shape of a circle.
(a) Express the circumberence of the circle as a function of x.
(b) Express the area of the circle as a function of x.
Click here to see answer by josmiceli(19441)

Question 59345: The length of a rectangular playing field is 5 ft less than twice its width. If the perimeter of the playing field is 230 ft, find the length and width of the field.
Click here to see answer by pvaka(23)

Question 59609: The sum of the perimeters of two squares is 40 inches. the sum of their areas is 58 square inches. What are the dimensions of the squares?
Click here to see answer by funmath(2933)

Question 59866: A cylinder has a radius of 5 in. If the volume of the cylinder is 250 in.^3, what is the height of the cylinder? [Hint: The volume of a cylinder is given by V = r^2h.]
Click here to see answer by funmath(2933)

Question 60114: All three sides of the triangle have equal length. One side is 9x - 4 and another is 2(3x + 4). What is the perimeter?
Click here to see answer by rchill(405)

Question 60114: All three sides of the triangle have equal length. One side is 9x - 4 and another is 2(3x + 4). What is the perimeter?
Click here to see answer by funmath(2933)

Question 60126: The monthly profit P (in dollars) that Jim makes on the sale of x mobile homes is determined by the formula P = x2 + 5x � 50. Find the values of x for which Jim makes profit.

Click here to see answer by chitra(359)

Question 60127: A cubic shipping container had a volume of v^3 cubic meters. The height of the container was decreased by a whole number of meters and the width was increased by a whole number of meters so that the volume of the container is now v^3 + 2v^2 � 3v. Find out the following:
a. By how many meters the height was decreased?
b. By how many meters the width was increased?

Click here to see answer by Edwin McCravy(20055)

Question 60124: If the width of a rectangle is 1 inch less than its length and the diagonal is 1 inch longer than its length, find the length and the width.
Click here to see answer by ptaylor(2198)

Question 60317: The area of a rectangle is 104. Find the length and width if the length is 5 times greater than its width.
Click here to see answer by tutorcecilia(2152)

Question 60673: The floor of a shed has an area of 54 square feet. Find the length and width if the length is 3 feet less than twice its width.
Click here to see answer by checkley71(8403)

Question 60817: The perimeter of a rectangle is 66m. If the width were doubled and the length were increased by 22m, the perimeter would be 136m. What are the length and width of the rectangle?
Click here to see answer by checkley71(8403)

Question 60960: If 6 men can do a piece of work in 14 days, how many men are needed to do the work in 21 days? Can you show me how to work it out?
Click here to see answer by babynarah2007(12)

Question 60963: A rectangular piece of cardboard is 2 units longer than it is wide. From each of its corners a square piece 2 units on a side is cut out. The flaps are then turned up to form an open box that has a volume of 70 cubic units. Find the length and width of the original piece of cardboard.
Click here to see answer by Earlsdon(6294)

Question 60959: The width of a retangle is 15 feet less than its length, and the perimeter is 210 feet. Can you show me how to find the width and the length.
Click here to see answer by checkley71(8403)

Question 60957: A certain sum of money is invested at 10%. Twice that amount is invested at 8%. The total amount of interest from both investments is $91.00. How much is invested at 8%. Can you show me how you work it out and solve it?
Click here to see answer by checkley71(8403)

Question 60961: If a boat goes downstream 72 miles in 3 hours and upstream 60 miles in 6 hours, the rate of the river and the rate of the boat in still water respectively are? I've got a solution and the answer is correct, but I don't think I worked it out right.
Click here to see answer by ankor@dixie-net.com(22740)

Question 60954: A mother left 20% of her estate to one son and 25% to another son. The remaining $55,000 she left to the other daughter. Find the amount of investment. This is relatively easy, but I can't remember how to work it out. Can you show me how to work out this word problem.
Click here to see answer by checkley71(8403)

Question 60958: The width of a retangle is 15 feet less than its length, and the perimeter is 210 feet. Can you show me how to find the width and the length.
Click here to see answer by venugopalramana(3286)

Question 61181: A lot is 40 meters by 36 meters. Ahouse 27 meters by 9 meters is built on the lot.How much area is left over for a lawn?
Click here to see answer by tutorcecilia(2152)

Question 62124: What is the capacity of a silo that is 30ft in height, the face against the barn is 10ft wide, and the barn is 5 ft. from the center of the circle?
Click here to see answer by josmiceli(19441)

Question 62037: You are visiting your grandparents on their farm. They have asked you to design a small, rectangular-shaped vegetable garden along an existing wall in their backyard. they wish to surround the garden with a small fence to protect their plants from animals.
To enclose the garden, you have 15 yards of fencing. The fencing is sold in .6 yard panels. In order to grow as many vegetables as possible, your task is to design the fence to enclose the maximum possible area. Partial panels of fencing may not be used.
How many panels of fencing should you use along the width of the garden?
How many panels would you use along the length of the garden?
Justify your solution in complete sentences.
===============================================================================
I know that the length is 27 feet (15 panels) and the width is 9 feet (5 panels) each. Panels are 1.8 feet each. The wall is the 2nd length.
Click here to see answer by ankor@dixie-net.com(22740)

Question 62270: The rectangular tabletop has a width that is two feet less than four times its length. If the area of the tabletop is 20ft^2, what are the dimensions of the tabletop?
Click here to see answer by tutorcecilia(2152)

Question 62508: Hello,
if it takes 600 feet of fence to enclose a rectangular lot that is 132 feet wide, then how deep is the lot?
Tks.
Click here to see answer by funmath(2933)

Question 62507: Good evening,
how to solve the area of a rectangular garden is 55 square meters. the length is 7 meters. find the width?
Thk you.
Click here to see answer by 303795(602)

Question 62806: I have tried to take H= volume divided by the length and width. But I could not come to a solution. Here is the question. A rectangular solid has the base width of 10cm and width 9cm. If the volume of the solid is , find the hieght of the sloid. Thank you in advance.
Click here to see answer by 303795(602)

Question 62870: find the area of the geometric figure (rectangular) if the the lenghth= (5x+10)feet and the width (2x+6)feet. thank you tutor i appricaite it
Click here to see answer by checkley71(8403)

Question 62912: Given the area,A, of a circle, the radius can be found by the formula . Finf the radius of a circular dance floor if its area is 469 square feet.
Click here to see answer by funmath(2933)

Question 62935: Cameron had driven his car 20 kilometers before Ruth began driving her car to catch up. How long will it take Ruth to catch Cameron if Cameron travels at 55 kilometers per hour and Ruth travels at 135 kilometers per hour?
Click here to see answer by joyofmath(189)

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