Questions on Word Problems: Geometry answered by real tutors!

Tutors Answer Your Questions about Geometry Word Problems (FREE)

Question 132347: I have a word problem I'd like to check please. On a baseball diamond the bases are 90 ft apart. What is the distance from home plate to second base in a straight line?
I tried using the pythagorean formula and squared both sides of 90 and added them together to get 16200. The square root from that would be 127.279, and that is what I think the distance would be. Can you tell me if I'm not right & point me in the right direction?
Click here to see answer by checkley71(8403)

Question 132504: A piece of wire 8 feet in length is to be cut into two pieces. Each piece will then be bent into a square. Where should the cut be made if the sum of the areas of the squares is to be 2 square feet?
Click here to see answer by checkley71(8403)

Question 132511: Here's the question:
If the radius of certain circle is tripled, with 8.2 cm then added, the result is the circumference of the circle. Find the radius of the circle.
Ok I am assuming part of this is 2(pi)r= r^3 + 8.2 but then I get stuck!! Please help!! Thank you!
Click here to see answer by stanbon(75887)

Question 132815: the other problems I submitted are also in the same chapter of this book. thank you so much!
the frame of a picture is 28 cm by 32 cm outside and is of uniform width. What is the width of the frame if 192 cm^2 of the picture shows?
Click here to see answer by nycsharkman(136)

Question 132723: I need 96 six inch squares, how many yards of fabric would that be?
Click here to see answer by scott8148(6628)

Question 132972: Hello, I have a word problem that I just can't solve. I don't have a formula for it. Questions is: The outside of a picture frame measures 14 in by 20 in. 80in squared of the picture shows. Find the thickness of the frame.
I took 14 in by 20 in. =280/ then i divided by 12 inches and came up with 23.33 inches thick? Is this the correct formula?
Thanks,
Kisha Bethea
Click here to see answer by solver91311(24713)

Question 133099: The hypotenuse of a right triangle is 6 inches longer than the shortest side and 3 inches longer than the remaining side. Find the dimensions of the triangle.
Click here to see answer by checkley71(8403)

Question 133683: the area of a garden is 120 sq. feet. the length of the garden is 1 foot less then twice the width. what are the dimensions of the garden?
Click here to see answer by ptaylor(2198)

Question 133783: Hello I am having some trouble with a few word problems. I just can't seem to get them.
The length of a rectangle is 4 times as long as it is wide. If the perimeter is 60 meters, find the dimensions of the length and width.
The length is 4 times as long as it is wide... Isn't half of the perimeter what I need to multiply by? I'm very confused. It seems simple but I dont know how to set up the problem the right way. 4x+30?
Thank you for your time,
Mrs. Gibson
Click here to see answer by ptaylor(2198)

Question 133786: Hello,
I am having a really hard time with these problems. What is the proper way to set up this equation?
The length of a rectangle is 5 feet more than twice its width. If its area is 52 in�, find the dimensions of the length and width.
Any help would be greatly appreciated.
Thank you,
Mrs. Gibson
Click here to see answer by ptaylor(2198)

Question 134085: Hi ,

I was hoping you could help me with two more question. I have tried to find a formula but I can't and I'm wasting too much time. My class is tomorrow evening.

1. Determine two numbers whose sum is 15 and the sum of its square roots is 137. I know the answer is 11 and 4 but what formula do I use.

7. The perimeter of a rectangle is 20 inches and its area is 24 inches squared. Determine the lengths of its sides. I know that the sides are 6" and 4" but I need to show my work. I just used logic to find the numbers.

8. The perimeter of a rectangle es 24cm and its area is 32 cm squared. Find the lengths of its sides. Again I know that the answer is 8cm and 4cm but what is the formula?

I really appreciate the help

Thanks,
Anne

Click here to see answer by solver91311(24713)

Question 134109: A square with side length 6 inches is revolved about a diagonal as an axis. Find the volume of the solid created by this revolution.
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Question 134184: Hi, please help me solve this word problem
3" squares are cut from each corner of a square with 15" sides, and the remaining flaps are folded to form a box. What is the volume of the box?
Thank you
Click here to see answer by josmiceli(19441)

Question 134181: Please help me solve this problem.
Two angles are supplementary. The measure of one is twice the measure of the other. What is the measure of the larger angle?
Thanks.
Click here to see answer by checkley71(8403)

Question 134259: At a company picnic 1/2 the people there were employees, 1/3 were their spouses. What is the percent of the others?
Click here to see answer by josmiceli(19441)

Question 134386: How many times might a circle and a square intersect?
Click here to see answer by MathLover1(20849)

Question 134511: The length of a pool is 3 times its width, and the pool is surrounded by a grass walk 4 feet wide. If the total area enclosed by the walk (of uniform width) is 684 square feet, find the dimensions of the pool.
Thank you for your help
Click here to see answer by nycsharkman(136)

Question 134754: How many distinct diagonals does a hexagon have?
Click here to see answer by stanbon(75887)

Question 134897: A painting is 10 inches tall and 15 inches wide. A print of the painting is 25 inches tall. How wide is the painting?
Click here to see answer by checkley77(12844)

Question 135050: If two planes leave the same airport at 1:00 PM, how many miles apart will

they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?

Click here to see answer by checkley77(12844)

Question 135051: Hi, my question is: By what product must the radius of a circle be decreased in order to decrease the area by 75%?
Thanks for your help.
Click here to see answer by ptaylor(2198)

Question 135088: The dimensions of a brick in inches are 2 by 4 by 9. How many such bricks are needed to have a total volume of exactly 2 cubic feet?
Click here to see answer by checkley77(12844)

Question 135129: can you give me a word problem of right 90 degee angle and its has to be with the pythagors theory. it could be a right angle and not right agle
Click here to see answer by solver91311(24713)

Question 135140: Hi, I have been having trouble on my math homework on this question and I was wondering if you could please help me: If the exterior angles of a convex octagon are x+13, 2x-1, 2x+6, 2x+12, 2x-17, 3x-4, 3x-10, and 4x, calculate the smallest of the eight angles.
I would really appreciate your help, I've been stuck on this problem all day. Thanks for taking your time.
Click here to see answer by stanbon(75887)

Question 135191: just need to translate this into an equoation no need to solve thanks :
1) Tom’s uncle owns a triangular piece of land. The perimeter fence that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. The second longest side is 2 yards shorter than the longest side. What is the length of each side?
Click here to see answer by scott8148(6628)

Question 135546: The diagonal of a rectangle is 25 inches more than its width. The length of the rectangle is 23 inches more than its width. What is the width of the rectangle?
Click here to see answer by ankor@dixie-net.com(22740)

Question 135884: whats the radius of a circle with the area of 192 cm is
Click here to see answer by stanbon(75887)

Question 135914: The area of a triangle is 20 cm2. The height of the triangle is 3cm more than its base. Find the base of the triangle.
(A=1/2 b x h)
x = base
x + 3 = height
20 = (1/2x) (x + 3)

Click here to see answer by solver91311(24713)

Question 135984: A rectangle has a side length of 14 centimeters and an area of 98 square centimeters.Write and solve an equation to find the length of the other side of the rectangle.

Any straightfoward and correct help would be much obliged:)~:)
Click here to see answer by Fombitz(32388)

Question 136004: A square room has an area of 14,400 square inches. What are the dimensions of the room in inches.
Any straightfoward and correct help would be much obliged:)~:)
Click here to see answer by checkley77(12844)

Question 136003: A square room has an area of 14,400 square inches. What are the dimensions of the room in inches.
Any straightfoward and correct help would be much obliged:)~:)
Click here to see answer by solver91311(24713)

Question 136001: The measures of the interior angles of a convex octagon are 45x, 40x, 155, 120, 155, 38x, 158, and 41x. What is the measure of the smallest interior angle?
Click here to see answer by nycsharkman(136)

Question 136119: Hello I need the formula to solve this problem:
Find the area and perimeter
of a square with a diagonal of 10 inches.
Click here to see answer by checkley77(12844)

Question 136192: topic: 30-60-90 triangle in geometry
a triangle with sides 12 and 15 intercepts an angle of 60 degrees. Find the third side.
NOTE: Letters to represent sides dont mater in this problem
Click here to see answer by jojo14344(1513)

Question 136329: Find the area of a rectangle if three of its corners are (-0.1,-3.4), (-7.9,-3.4), and (-0.1,6.8).

Click here to see answer by scott8148(6628)

Question 136441: I can't seem to solve this problem that should be easy. I'm blocked and need to figure out how to solve it.
A person is building a storage area with 10 short walls of x length and 2 long walls of y length. (This looks like a long row of rectangles with y being the total length of all of them together) The total wall length will be 500ft.
For the first part of the problem I was supposed to find a formula for area in terms of x so I used A=xy which turned into x=A/y
Then I set up the equation to start finding then lengths of x and y. So I set up 10x + 2y = 500 and solved for x which is x=50 - 1/5y
So what now? I have a complete mental block and need to know where to go or what I have done wrong to get myself confused up to now. Thanks.
Click here to see answer by vleith(2983)

Question 136592: You are filling paper cones with popcorn for a prty. The radius of each cone is 8 centimeters and the height is 15 centimeters. Find the amount of popcorn needed to fill the paper cone to the nearest cubic cnetimeter. USe 3.14 for pie.

Thank you for your answers. Answers Preferred from Checkley77,Solver 91311,Stanbon,or Fombitz,Thanks.
Click here to see answer by solver91311(24713)

Question 137092: A vase is in the shape of a triangular prism. Each horizontal slice is a triangle with area 10in sq. The height of the vase is 13inches. What is the volume of the vase?
Click here to see answer by jedidiah(6)

Question 137149: The diagonal measure of a rectangular computer monitor screen is 53 cm. If the screen is 45 cm wide, then how tall is it?
Click here to see answer by oscargut(2103)

Question 137254: 6. explain how the formula for the area of a triangle can be determined by using the formula for the area of a pallallogram.
Click here to see answer by stanbon(75887)

Question 137249: The length of a rectangle is 3 cm is less than twice its width. A second rectangle is such that each dimension is the reciprocal of the corresponding dimension of the first rectangle. The perimeter of the of the second rectangle is 1/5 the perimeter of the first. Find the perimeter of the first rectangle. PLEASE HELP AND IT IS MUCH APPRICIATED!!!!!!!!!!!!!!!!
Click here to see answer by stanbon(75887)

Question 137366: A dog pen is in the shape of a right triangle. The longer leg measures 15 ft. The hypotenuse is 7ft shorter than three times the length of the shorter leg. How long is the shorter leg?
Click here to see answer by checkley77(12844)

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