Questions on Word Problems: Geometry answered by real tutors!

Tutors Answer Your Questions about Geometry Word Problems (FREE)

Question 127044: Find the distance between (�6, 4) and (3, �8). Another easy one that i am blanking on.
Click here to see answer by jim_thompson5910(35256)

Question 127043: A 10-foot pole casts a shadow of 5 feet. How tall is a tree with a shadow of 13 feet? Not sure how to get that. Please help
Click here to see answer by stanbon(75887)

Question 127043: A 10-foot pole casts a shadow of 5 feet. How tall is a tree with a shadow of 13 feet? Not sure how to get that. Please help
Click here to see answer by Earlsdon(6294)

Question 126728: In 2000, 70 tonnes of soil were removed from under the Leaning Tower of Pisa, and the angle the tower made with the ground was increased by about 0.5 degrees.Before that a point near the top of the tower was 50.5m from a point at the base (measured along the tower), and this top point was directly above a point on the ground 4.25m from the same base point. How much did the point on the ground move toward the base point?
Click here to see answer by ankor@dixie-net.com(22740)

Question 126833: A garden in the shape of a right triangle has sides measuring 60, 80 and 100 ft. The owner of the garden adds a new section of fence that runs from the right angle to the hypoteneuse and separates the garden into two parts of equal perimeter. Find the length of the new section of the fence. Problem is not out of a textbook, rather on a worksheet.
Click here to see answer by ankor@dixie-net.com(22740)

Question 127525: How many lines must be drawn on a 3 foot square piece of cloth to mark off nine 1 foot squares?
Click here to see answer by bucky(2189)

Question 127693: You are lying 120 ft. away from a tree that is 50 ft tall. You look up at the top pf the tree. Approximately how far is your hear from the top of the tree in a straight line?
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Question 127732: pls help me....
how many cubed pieces of fudge that are 3 inches on an edge can be packed into a can that is 9 inches deep by 12 inches wide by 8 inches high with the lid still being able to be closed?
thanks
Click here to see answer by edjones(8007)

Question 126767: How do you do translations?
Click here to see answer by idkweirdo(15)

Question 128229: Which is a perfect square?
1,945
1,000
351.56
730
169
Click here to see answer by edjones(8007)

Question 128323: The length of a rectangle is 2ft less than three times the width of the triangle. The area of the rectangle is 65ft2. Find the length and width of the rectangle.
Click here to see answer by checkley71(8403)

Question 128834: Two angles are complementary if the sum of their angles is 90 degrees. Suppose we have 2 complementary angle where one angle is ten more than three times the other angle. Determine the measure of the 2 angles.
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Question 128873: The base of an isosceles triangle is 3cm less than the length of the equal sides. If the perimeter of the triangle is 36cm, find the length of each side.
Click here to see answer by solver91311(24713)

Question 129026: The area of a rectangle is 200 sq cm and one dimension is 25 cm. Find the length of a diagonal of the rectangle (to the nearest whole number).
Click here to see answer by checkley71(8403)

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(6294)

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?
Click here to see answer by MathLover1(20849)

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 :)
Click here to see answer by josmiceli(19441)

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?

Click here to see answer by Earlsdon(6294)

Question 129641:
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.

Click here to see answer by checkley71(8403)

Question 129806: A square lawn has a 35 yard diagonal. How long is one side of the lawn?
Click here to see answer by josmiceli(19441)

Question 129807: The sides of and equilateral triangle are 8 inches each. What is the height of the triangle?
Click here to see answer by checkley71(8403)

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.
Click here to see answer by jim_thompson5910(35256)

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?
Click here to see answer by scott8148(6628)

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?

Click here to see answer by checkley71(8403)

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.
Click here to see answer by scott8148(6628)

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?
Click here to see answer by checkley71(8403)

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.
Click here to see answer by scott8148(6628)

Question 130399:
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?
Click here to see answer by checkley71(8403)

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?
Click here to see answer by edjones(8007)

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
Click here to see answer by scott8148(6628)

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
Click here to see answer by pug912(10)

Question 130727: 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.
Click here to see answer by scott8148(6628)

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.
Click here to see answer by josmiceli(19441)

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.
Click here to see answer by checkley71(8403)

Question 131834: 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.
Click here to see answer by edjones(8007)

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.
Click here to see answer by checkley71(8403)

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.
Click here to see answer by kev82(151)

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_________.
Click here to see answer by solver91311(24713)

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?
Click here to see answer by nycsharkman(136)

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(24713)

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