Questions on Word Problems: Geometry answered by real tutors!

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Tutors Answer Your Questions about Geometry Word Problems (FREE)


Question 129027: If a radius of a circle is tripled, then the area is:
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Question 129019: I'm a retired math and physics teacher.
I'm refering to the problem in the examples page with a rectangle
of 90 cm^2 and consecutive integer sides of x and x+1.
Are you folks aware that there are many, many solutions
to this problem? :)

Click here to see answer by Earlsdon(4900) About Me 

Question 129203: I drew the pentagon and not sure if I found all the triangles, I found 20 is this right or are there more. Heres the question. Thanks for your help.
Draw a pentagon with each of its five diagonals. How many triangles are contained in the figure?

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Question 129612: Tom is building a rectangular dog pen that we wants to enclose. The width of the pen is 2 yards less than the length. If the area of dog pen is 15 square yards, hpw many yards of fence would he need to completely enclose the pen? Please and thank you :)
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Question 129623: I can't come up with an answer to this problem, i was thinking that it has to be more than 15 square yards but if someone could help me that would be wonderful: Dan is building a rectangular dog pen that he wants to enclose. The width is 2 yards less than the length. If the area of the dog pen is 15 square yards, many yards of fencing would he need to completely enclose the pen?

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Question 129641This question is from textbook Algebra Structure and Method
:
The problem is: A rectangle is 5 cm longer than it is wide. If its length and width are both incrased by 3 cm, its area is increased by 60 cm^2. Find the dimensions of the original rectangle
I have completely confused myself. Here is what I have done:
A[1] = x(x+5)
A[2} = (x+3)(x+5)
A[1] = (x+3)(x+5)-60
x^2 + 5x = (x+3)(x+5)-60
x^2 +5x = x^2 +5x + 3x +15 - 60
5x = 8x - 45
-5x = -8x + 45
3x = 45
x = 15
x + 5 = 20
Dimensions of original rectangle are 15, 20.
Answer key says correct answer is x = 6, x+5 = 11.
This question is from textbook Algebra Structure and Method

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Question 129806: A square lawn has a 35 yard diagonal. How long is one side of the lawn?
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Question 129807: The sides of and equilateral triangle are 8 inches each. What is the height of the triangle?
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Question 129879: The base of a triangular sail is 5m shorter than its height. The area is 18m^2. Find the base and the height of the sail.
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Question 129897: What is the greatest possible difference between the areas of two rectangles whose perimeter are each 144 cm if the lenth and width are both integers?
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Question 130027: 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 . How long should the PVC plumbing pipe be?


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Question 129693: expansion of square city garden. each side is increased by 7 meters, the new total area of garden will be 144 square meters. what is the lenght of original garden.
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Question 129811: A 30 foot ladder leaning up againist a building makes an angle of 30 degrees with the building. How high up the wall is the ladder from the ground?
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Question 129903: The base of a triangle is 5 cm greater than the height .the area is 18cm^2 find height and length of base?
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Question 130109: He decided that he wants to get the largest garden from 200 feet of fencing. What are the dimensions of his garden? What if he bought n feet of wire?
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Question 130235: A 20-meter line is used to tether a helium-filled balloon. Because of a breeze, the line makes an 85 degree angle with the ground. Find the height of the ballon.
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Question 130399This question is from textbook a problem solving approach to mathmatics for elementary school teachers
:
a tank contains 15,360 L of water. At the end of each day, half of the water is removed and not replaced. How much water is left in the tank after 10 days?
The answer is 15 L, but I don't know why the answer is 15 L
I have tried several different ways to work this out, and can't figure it out. Can you show me how this is worked out?
This question is from textbook a problem solving approach to mathmatics for elementary school teachers

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Question 130460: Amir's sister is away at collage, and he wants to mail her a 34in. baseball bat. The packaging service sells only one kind of box, which measures 24in. by 20in. by 12in. WIll the box be big enough?
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Question 130644: a trinagle has a perimeter of 46cm. The longest is twice as long as the shortest side. the third side is 6cm longer than the shortest side. the length of the shortest side is ___cm
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Question 131017: 1.find perimeter of a square with diagonal of 12 centimeters
2.find the diagonal of a square with a perimeter of 20 inches
3.find the diagonal of a square with a perimeter of 28 inches

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Question 130727This question is from textbook
: Two isosceles triangles have the same base length. The legs of one of the triangles are twice as long as the legs of the other. Find the lengths of the sides of the triangles if their perimeters are 23 cm and 41 cm.This question is from textbook

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Question 131462: The height of a triangle is 4cm less the length of the base. If the area is 30 square cm, what is the height and length of base. I know the formula and I plugged in numbers to find the answers (6cm + 10cm), but I cannot prove it algebraicly.
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Question 131754: Malcolm has a circular table with a diameter of 4 feet. He plans to cover the table with a circular tablecloth that has a one foot overhang all around the table. He wants to sew fringe around the entire edge of teh tablecloth. How many feet of fringe will he need? Show your work.
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Question 131834This question is from textbook
: I need help solving this word problem. Thanks a ton!
The so-called golden rectangle is said to be extremely pleasing visually and was used often by ancient Greek and Roman architects. The length of a golden rectangle is approximately 1.6 times the width. Find the dimensions of a golden rectangle if its area is 9000 m^2.
This question is from textbook

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Question 131834This question is from textbook
: I need help solving this word problem. Thanks a ton!
The so-called golden rectangle is said to be extremely pleasing visually and was used often by ancient Greek and Roman architects. The length of a golden rectangle is approximately 1.6 times the width. Find the dimensions of a golden rectangle if its area is 9000 m^2.
This question is from textbook

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Question 132059: Please help. The area A of a triangle with base b and height h is given by A=1/2bh. Find the area when b=20 m(meters) and h=22 m.
Thank you so much.

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Question 132195: I am currently a middle school math teacher, and I cannot seem to figure out how to solve the following problem. I know that it is more than just volume of a cylinder, but I do not know exactly what to do. Thank you for your help:
Farmer John stores grain in a large silo located at the edge of his farm. The cylinder-shaped silo has one flat, rectangular face that rests against the side of his barn. The height of the silo is 30 feet and the face resting against the barn is 10 feet wide. If the barn is approximately 5 feet from the center of the silo, determine the capacity of Farmer John’s silo in cubic feet of grain.

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Question 132194: when adding numbers with different signs, the result has the same sign as the number with the larger ____________ value.
The sum of any number and its opposite, or addditiveinverse, is________.
The product of two numbers with different signs is always_________.

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Question 132322: The base of a triangle is 5cm greater than the height. The area is 18cm^2. Find the height and the lenghth of the base.
The height of the triangle is?
The base of the triangle is?

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Question 132345: I need some help on this problem please: find out the length of sides a & b on the following triangle. A=x, b=3x and c = 19. I think I should use the pythagorean theorem. I squared 19 to get 361, but I don't know how to figure the rest. Any advice would be great.
Click here to see answer by solver91311(5072) About Me 
Question 132345: I need some help on this problem please: find out the length of sides a & b on the following triangle. A=x, b=3x and c = 19. I think I should use the pythagorean theorem. I squared 19 to get 361, but I don't know how to figure the rest. Any advice would be great.
Click here to see answer by checkley71(8405) About Me 

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(8405) About Me 
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 solver91311(5072) About Me 

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?
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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!

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Question 132815This question is from textbook
: 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?
This question is from textbook

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Question 132723: I need 96 six inch squares, how many yards of fabric would that be?
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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

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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.
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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.
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Question 133683This question is from textbook
: 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?This question is from textbook

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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

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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 in², find the dimensions of the length and width.
Any help would be greatly appreciated.
Thank you,
Mrs. Gibson

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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(5072) About Me 
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 Ganesha(13) About Me 

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