Questions on Word Problems: Geometry answered by real tutors!

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Question 1070337: A kite is tied to a string of length 32 m. It is hovering in the air 24 m directly above the ground. What is the angle that the string makes with the horizontal?
Click here to see answer by josgarithmetic(39617)

Question 1070345: A ball was throw into the air. It path was given by y=2-5t�+28t where y is the height in metres above ground at time t seconds
1)Find the height above ground from with the ball was released.
2)Find the value of t for which the height of the ball was 34 m above ground.
Click here to see answer by Alan3354(69443)

Question 1070391: Susan cuts a pizza with a radius of 18 centimeters if one half of the pizza is cut away what is the area of the remaining portion of pizza
Click here to see answer by Boreal(15235)

Question 1070440: A ladder placed on a flat horizontal surface rests against a vertical wall with an angle of elevation of 60�. The foot of the ladder is 2 m from the best of the wall. Find the height of the point where the ladder touches the wall
Click here to see answer by ikleyn(52781)

Question 1070556: Jeremy is building a ramp to the entrance of a school. If the ramp needs to vertically rise 6 ft and form an angle of 28� with the ground, which of the following equations should Jeremy use to determine the length (x) of the ramp?

Click here to see answer by Boreal(15235)

Question 1070583: The length of a rectangle doubled and increased by 2m is the same as the width multiplied by 4 and then decreased by 24m. Find the dimensions.
We have written the following equation, but believe more info., such as perimeter is needed to solve the problem:
2L + 2 = 4W - 24
so 26 = 4W - 2L
where would we go from here?
thanks,
Lisa

Click here to see answer by Fombitz(32388)

Question 1070528: Find the dimensions of a rectangle whose length is 6 inches greater than its width. The area is 72 square inches. Show your work and explain the steps you used to find the solution in order to receive full credit.
Click here to see answer by DENNIS DON(8)

Question 1070786: Help Needed Thank You!
1. One side of a right-angled triangle is 7cm longer than the other side and hypotenuse is 4cm less than the sum of the other two sides.
i. Draw a diagram representing this information.
ii. Using Pythagoras' Theorem, form an equation representing the relationship between the three sides of the triangle. (Leave your answer in the simples form)
iii. Find the length of the shortest side.
Thank you so much if you answer this. I really appreciate it!
Click here to see answer by Fombitz(32388)

Question 1070828: A 10 foot long pole leans against a wall. The bottom is 6 feet from the wall. How much farther should the bottom be pulled away from the wall so that the top moves the same amount down the wall?
Click here to see answer by Alan3354(69443)

Question 1070843: If a rectangular kitchen has an area of 160 ft.� and the length is 12 feet more than the width what are the dimensions of the kitchen
Click here to see answer by Alan3354(69443)

Question 1070872: In a cross country race you run at a steady rate of 7 minutes per mile. After 21 minutes, you finish in fourth place. How long is race?
Click here to see answer by josgarithmetic(39617)

Question 1070915: Solve this problem using the proper formula.
A lot is in the shape of a trapezoid. The sum of the bases is 280 feet. If the area of the lot is 8,400 square feet, what is the distance across the lot, i.e., the altitude of the figure?

Click here to see answer by addingup(3677)

Question 1071057: there are 2 poles that are 20 feet apart connected with a 32 foot wire.If the shorter pole is 11 feet tall and the angle of the elevation of the wire is 29, what is the height of the taller pole to the nearest foot?
Click here to see answer by josgarithmetic(39617)

Question 1070968: Lucas has a backyard that is triangle in shape. If the length of the three sides are 2x, 2x + 4 and 4x - 5. What is the perimeter?
Click here to see answer by Fombitz(32388)

Question 1071084: A small vegetable garden is enlarged by increasing the length by 3m and the width by 1m. The area of the new garden is three times larger than that of the original garden. Determine the dimensions of the original garden if its area was 6m
Click here to see answer by josgarithmetic(39617)

Question 1071167: The side lengths of a rectangular room are 5 ft and 12
ft. The room is going to be split in half along the hypotenuse of a triangle using string. Find the length of the piece of string needed.
Click here to see answer by stanbon(75887)

Question 1071168: The area of a triangle is multiplied by a certain scale factor to produce an area of 72 square centimeters. If the original area was 8 square centimeters, what is the scale factor?
Click here to see answer by josgarithmetic(39617)

Question 1071244: I want to frame a picture that's 650 square inches how long is each side of the picture frame to the nearest tenth
Click here to see answer by josgarithmetic(39617)

Question 1071268: Point A is located -24 and point C is located at 36 on the number line below.
Which value would represent point B, halfway between point A and point C ?
Click here to see answer by ikleyn(52781)

Question 1071258: One base of the trapezoid is 1 ft shorter than the other base. Find the lengths of teh bases if the trapezoid is 4 ft high and has an area of 10 ft sq

Click here to see answer by Boreal(15235)

Question 1071345: The vertices of the garden are (2, 5), (2, 9), (8, 9) and (8, 5). She needs to figure out the area of her garden in order to decide how much soil to buy. What is the area of her garden in square feet?
Click here to see answer by Boreal(15235)

Question 1071350: A map of a town is drawn on a coordinate grid where each unit represents a mile. The middle school is located at (3, �8). Marcy�s house is at (3, 2) and Henry�s house is at (8, �8). Does Marcy or Henry live closer to the school
Click here to see answer by stanbon(75887)

Question 1071460: If the length of the side of a square is doubled, what is the ratio of the area of the original square to the area of the new square
Click here to see answer by ikleyn(52781)

Question 1071467: How many feet does a wheel with a diameter of 13 inches travel after four revolutions?
I'm unsure of how to start this?
Click here to see answer by josgarithmetic(39617)

Question 1071467: How many feet does a wheel with a diameter of 13 inches travel after four revolutions?
I'm unsure of how to start this?
Click here to see answer by MathTherapy(10552)

Question 1071495: I have a tough geometry question. Here it is: L, M, and N are the midpoints of the sides of triangle ABC. Find the ratio of the perimeters and areas of triangles LMN and ABC.
Click here to see answer by Boreal(15235)

Question 1071643: The stress in the material of a pipe subject to internal pressure varies jointly with the internal pressure and the internal diameter of the pipe and inversely with the thickness of the pipe. The stress is 100 pounds per square inch when the diameter is 5 inches, the thickness is 0.75 inch, and the internal pressure is 25 pounds per square inch. Find the stress when the internal pressure is 85 pounds per square inch if the diameter is 9 inches and the thickness is 0.80 inch.
I am very unsure where this falls under or what to do first?
Click here to see answer by Theo(13342)

Question 1071661: The length and breadth of a playground are 200m and 150m respectively.If an athlete wants to run 7km,how many times should he go around this field?

Click here to see answer by math_helper(2461)

Question 1071702: please help. A rectangular picture frame measures 25 cm by 29 cm. What is the perimeter or distance around the picture frame in meters? m
Click here to see answer by Fombitz(32388)

Question 1071720: George is putting trim around his rectangular deck, including the gate. He will need 48 feet of trim to do the entire deck. If the deck is 15 feet long, how wide is the deck?
Click here to see answer by josgarithmetic(39617)

Question 1071842: A contractor is laying out the sides of a rectangular porch. She knows that the porch will form a rectangle if it can be broken up into two right triangles, as shown below.

The lengths of the two longer sides of the porch are 24 feet and the lengths of the two shorter sides are 17 feet. Enter the length of the diagonal of the porch in feet, rounded to the nearest tenth.

Click here to see answer by Boreal(15235)

Question 1071899: a company wants to reduce the dimensions of its logo by one fourth to use on business cards. if the area of the original logo is 4 square inches, what is the area of the logo that will be used on the business cards
Click here to see answer by math_helper(2461)

Question 1071897: a one wall tower has 4095 bricks , the top row has one brick each row below has one more brick than the row above . how many rows does the tower have ?
Click here to see answer by Alan3354(69443)

Question 1071936: Olivia wants to trim a lampshade with braid. The lampshade is shaped like a rectangular prism. The length of the base of the lampshade is 4 inches greater than its width. If the perimeter of the base is 54 inches, find the length of the base.
Click here to see answer by addingup(3677)

Question 1071942: Eugene wrote a riddle: A positive number is 5 less than another positive number. Six times the lesser number minus 3 times the greater number is 3. Find the two positive numbers.
Click here to see answer by josgarithmetic(39617)

Question 1071938: The sum of a negative number, 1/4 of the negative number, 7/16 of the negative number is -13 1/2. What is the negative number?
Click here to see answer by Theo(13342)

Question 1072034: 3.

Note: Figure is not drawn to scale.

The rectangle above has the dimensions 25 cm by 21 cm.
Which set of dimensions would produce a similar figure?
110 cm by 84 cm
25 cm by 84 cm
100 cm by 84 cm
100 cm by 21 cm
Click here to see answer by ikleyn(52781)

Question 1072071: a side of a square bulletin board measures 34 inches. What is the length of a diagonal?
Click here to see answer by addingup(3677)

Question 1072153: Four wooden rods with length of 70cm, 119cm, 84cm and 105cm are cut into pieces of the same length.find the greatest possible length for these pieces if no wood is left over.
Click here to see answer by josgarithmetic(39617)

Question 1071943: Henry pizzas for a party and organized the information into a table.
****************************************************************************

Type of Pizza Number of Pizzas Price of One Pizza
-----------------------------------------------------------------------------------------------------
Large Cheese. X. $13.95
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Medium Pepperoni. 2. $ 11.95
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If Henry paid a total of 93.65, how many large pizzas did he order?

Click here to see answer by Mini-(17)

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