Questions on Word Problems: Geometry answered by real tutors!

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Question 206851: One angle of a triangle is three times another. The third angle is 45 degrees greater than the smallest. Find the measure of the smallest angle.
Thanks

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Question 206852: The length of a rectangular box is 3 less than 3 times the width. The perimeter is 74 ft. Find the length of the box.
Thanks

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Question 206850: The width of a rectangle is four feet less than the length. The perimeter is 16 ft. Find the width.
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Question 206955: Consider an area of cm2 bounded by two concentric circles ( the figure is called an annulus). Determine the radius of the inner circle ( in units of cm) if the outer and the inner diameters of the of the annulus differ by 2 cm.
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Question 207228: Need to draw a diagram to solve the following question.
an average sized orca whale eats about 551 pounds of food a day. How many pounds of food will an orca whale eat in one year?

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Question 207463: the length of the rectangle is 3cm greater than its width. the perimeter is 24cm. find the dimensions of the rectangle
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Question 207456: What is the height of the rectangle if the base is 24.3 cm and the area is 580.77 cm?
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Question 207656: Can you answer this: The length of a side of a rectangle is 4 inches more than the width. If the perimeter is 62 inches, what are the dimensions.
-Thanks

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Question 207656: Can you answer this: The length of a side of a rectangle is 4 inches more than the width. If the perimeter is 62 inches, what are the dimensions.
-Thanks

Click here to see answer by rfer(12657) About Me 

Question 207934: If a television has a diagonal measurement of 25 inches and a width of 20 inches, what is it's height?
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Question 208023: please help me how to solve this. because i can't get it.
1) the width of the rectangle is one-forth of its lenght. if the perimeter is 40 cm, find the dimensions of the rectangles?
2) the perimeter of a standard basketball court is 288ft. find the dimensions of the basketball court if its lenght is 44ft longer than its width.

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Question 208067: I have a triagle that one leg is 91 inches and another leg is 96 inches, What is the length of the third leg? I really am stuck on this one.
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Question 208128: A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car and the distance traveled.
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Question 208119: What is a Palmyra triangle? I have no idea.. Middle length? if I had some idea of what it looked like i think i would be able to figure out the problem. Would you mind helping me with this?
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Question 208206: The perimeter of a rectangle is 168 inches. The length exceeds the width by 62 inches. Find the length and width.
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Question 208404: what are the dimensions of a room that is 1.5 times as long as it is wide, and its perimeter is 25 meters
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Question 208404: what are the dimensions of a room that is 1.5 times as long as it is wide, and its perimeter is 25 meters
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Question 208405: the width of a rectangular storage container is 1.25 times its height. The length of the container is 16 inches and the volume of the container is 2000 cubic inches
what are the dimensions of the container?

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Question 208379: how do you find the length and the midpoint of a segment using two endpoints:A'
(2,-7) and B'(-5,-4)

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Question 208364: in any triangle, the sum of the measures of the angles is 180 degrees. In triangel ABC, angle A is four times as large as angle B. Angle C measures twenty degrees less than angle B. Gind the measure of each angle.
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Question 208415: The measure of a suppliment of an angle is 12* greater than three times the measure of a complement. Find the measure of the angle.
Okay, I understand that suplimentary angles add up to 180 and that complimentary add up to 90. However, it doesn't seem to give me enough info to write an equation for this. Wouldn't I need the other supliment and compliment? Any help?

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Question 208383: Two frames are needed with the same perimeter. One frame is in the shape of a square and the other in the shape of a regular pentagon. Each side of the square is 7 inches longer than each side of the pentagon. Find the dimensions of each frame.
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Question 208353: Your making a photo quilt by transferring photos to aquares of fabric. Each square should be big enough so that you can turn over an edge 5/8 inch long on each side and have a finished aquare with a side length of 5 3/4 inches.
a.What are the demensions of each fabric square? is it 5 3/4 x 5 3/4
b.How many square inches of fabric do you need if you want to include 48 squares? is it 276 in. squared
c. The fabric you buy is 36 inches wide. How long a piece of fabric do you need?
d. You buy a piece of fabric that has the length you found in part (c). Once you've cut all squares, how many square inches of fabric are left over?
Please help solve! Thank you!

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Question 208376: The sum of the complement and supplement of an acute angle exceeds 20 less than thrice its complement by 60. Find the measure of the acute angle.
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Question 208494: The width if a triangle is fixed at 13cm. What lengths will make the perimeter greater than 88cm? Although I initially thought this solution could be easy, I am second guessing myself. My thought process feels me the answer could be 30cm since the perimeter would be 90. IDK-I've been struggling w/ Algebra & geometry for weeks now. Is there an easy way to fibnd the right solution? TY-Angel
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Question 208643: The length of a rectangle is 3 meters less than 5 times the width. The perimeter is 18 meters. Find the length and width.
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Question 208617: A rectangle's length is 20 less than 3 times its width. The perimeter of the rectangle is 80. What are the dimensions of the length and the width?
I'm pretty sure that the answer is 25 x 15 from trial and error, but I do not know how to solve it algebraically.

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Question 208678: If one side of a right triangle is 3 inches and the hypotenuse is 4 inches, how long is the other side? I need help with the formula and solution
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Question 208743: the perimeter of a rectangle yard is 290 feet. If its lenth is 25 feet greater than its width, what are the dimensions of the yard?
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Question 209193: How do you get the volume of a rectangle prism. Height 1cm Lenght 9cm. Also, how do you get the surface area for the same problem. Thank you, Domonique M.
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Question 209166: the measures of an angle and its complement differ by twenty-two degrees. find the measures of the angles.
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Question 209367: Three times the number of reds is one less than twice the number of blues. If the sum of the reds and the blues is 13, how many are red and how many are blue?
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Question 209367: Three times the number of reds is one less than twice the number of blues. If the sum of the reds and the blues is 13, how many are red and how many are blue?
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Question 209366: The complement of angle A is 20 degrees less than half the supplement of triangle A. Find the measure of angle A
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Question 209381: The perimeter of a rectangle is 106 meters. The length is five meters more than twice its width. Find the length and width of the rectangle.
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Question 208528: a rectangular light-switch plate is made according to the following dimensions. The length is 8 inches and the width is 6 inches a rectangular hole measuring 1 inch by 3 inches is left in the center how many square inches in area is the light-switch plate if the cost to construct the plate is $3.50 per square inch what is the construction cost?
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Question 209969: The perimeter of a triangle is 17. One side is 1 inch shorter than the longest and 1 inch longer than the shortest. What are the dimensions?
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Question 209998: 4. A customer wants to make a teepee in his backyard for his children. He plans to use lengths of PVC plumbing pipe for the supports on the teepee, and he wants the teepee to be 12 feet across and 8 feet tall (see figure). How long should the pieces of PVC plumbing pipe be?

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Question 210095: The angle of elevation of a hot air balloon, climbing vertically, changes from 25 degrees at 10:00 am to 60 degrees at 10:02 am. The point of observation of the angle of elevation is situated 300 meters away from the take off point. What is the upward speed, assumed constant, of the balloon? Give the answer in meters per second and round to two decimal places.
So, far I have done:
I have drawn the right triangle, and I know that the initial angles is 25 degrees, but how does 60 degrees factor into this problem? It's a right triangle, but 90 + 25 + 60 does not = 180. What is the next step here?

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Question 209904: Hi this is Domonique again. Thank you for your help last time. I am having a problem with the same question. I had to take a object and get its volume and surface area. I chose a mini Kit Kat bar. The lenght is 8cm, width is 1cm, and height is 3cm. The volume I got was 24, the surface area was 70. I am puzzled now. I have to enlarge this object surface area and volume by a 1:6 ratio. I am very lost. I really tried and don't understand how to do this.Please help me. And what do I write behind each one. Is it cubic meter or square feet.
Thank you in advance.

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Question 210274: 12 = -r - 11 is?
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Question 210395: Introductory Algebra ISBN 0321279212 Chapter 6.7
Solve this application. Quadratic Equations.
One side of a rectangular patio is 3 meters longer than the other. If the area of the patio is 108 square meters, what are the dimensions of the patio?

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Question 210414: what is the step by step solution to "A poster is 25 cm taller than it is wide. It is mounted on a piece of particle board so that there is a 5 cm border on all sides. If the area of the border alone is 1350 cm squared, what are the dimensions of the poster?"
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Question 210338: in triangle XYZ,the length of side XY is twice the length of side XZ and three less than the length of side YZ.if the perimeter of the triangle is 33,what is the length of its sides?
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Question 210346: A square is altered so that one dimension is increased by 4, while the other dimension is decreased by 2. The area of the resulting rectangle is 55. Find the area of the original square.
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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