Questions on Word Problems: Geometry answered by real tutors!

Tutors Answer Your Questions about Geometry Word Problems (FREE)

Question 1113895: Can a moving company fit a round tabletop with a diameter of 7 feet through a rectagular door that is 4ft by 6ft?
Click here to see answer by ikleyn(52779)

Question 1113895: Can a moving company fit a round tabletop with a diameter of 7 feet through a rectagular door that is 4ft by 6ft?
Click here to see answer by amalm06(224)

Question 1113959: A trapezoid of area 100 cm^2 has bases 5 cm and 15 cm. Find the areas of the two triangles formed by extending the legs until they intersect.
Click here to see answer by greenestamps(13200)

Question 1114003: Triangle ABC has AB= 7 cm, AC = 13, BC = x cm and angle ABC = 60 degrees. Calaculate the exact value of x
Click here to see answer by rothauserc(4718)

Question 1114003: Triangle ABC has AB= 7 cm, AC = 13, BC = x cm and angle ABC = 60 degrees. Calaculate the exact value of x
Click here to see answer by ikleyn(52779)

Question 1113996: A square pyramid has slant edges of 15cm and a perpendicular height of 12 cm.
Find the surface area of the pyramid.
Click here to see answer by greenestamps(13200)

Question 1114077: Theo is building a garden against his house. He bought two pieces of wood that are each five feet long. He wants to create a triangular garden against his house using the two pieces of wood, without cutting them. His house will be the third side of the triangle. He also wants the perimeter of his garden to be a whole number.
There are
different triangles he can create that fit these conditions.
Of these triangles, there are
isosceles,
scalene, and
equilateral.
Click here to see answer by greenestamps(13200)

Question 1114169: The length of each side of a square is 3 in. more than the length of each side of a smaller square. The sum of the areas of the squares is 369 in squared. Find the lengths of the sides of the two squares.
Click here to see answer by ikleyn(52779)

Question 1114268: The volume of a gas in a cylinder at a fixed temperature is inversely proportional to the weight on the pistons. If the gas has a volume of 6 cubic centimeters for a weight of 30 kilograms, then what would the volume be for a weight of 20 kilograms?
Click here to see answer by josgarithmetic(39617)

Question 1114275: Two wires tethered a balloon to the ground (a) 85 degrees and (b) 75 degrees. How high is the balloon above the ground if the length of (a) to (b) is 100 meters?
Click here to see answer by josgarithmetic(39617)

Question 1114274: What is the altitude of an equilateral triangle with side of 16.0 meter? Compute for the area of this triangle.
Click here to see answer by ikleyn(52779)

Question 1114266: The lovers at the park are playing on a seesaw. The lady is at one end, 0.78 meters from the fulcrum. if the girls weighs 39.7 kilograms, and the guy weighs 72.9 kilograms, where should the boy sit so that the seesaw is balanced?
Click here to see answer by ikleyn(52779)

Question 1114276: Determine the length of the shadow of a rod that is placed between a flashlight and a wall. The rod is 65 centimeters in length. The flashlight is 110 centimeters away from the wall and 40 centimeters from the rod.
Click here to see answer by josgarithmetic(39617)

Question 1114269: To obtain a pleasing rectangular shape, the ancient Greeks constructed buildings with a length that was about 1/6 longer than the width. If the width of Parthenon is 30.89 meters, then what is its perimeter? What is the area?
Click here to see answer by Theo(13342)

Question 1114322: A bird was sitting 14 feet from the base of an oak tree and flew 50 feet to reach the top of the tree. How tall is the tree?
Click here to see answer by josgarithmetic(39617)

Question 1114322: A bird was sitting 14 feet from the base of an oak tree and flew 50 feet to reach the top of the tree. How tall is the tree?
Click here to see answer by Alan3354(69443)

Question 1114256: Given a right cylinder with a cylindrical cavity of similar height. find the diameter of the cylindrical cavity if the right cylinder has a total volume of 0.933, a diameter of 0.931 and a height of 1.77.
Click here to see answer by Alan3354(69443)

Question 1114348: A lot is 21 ft by 30 ft. To support a fence, an architect wants an upright post at each corner and an upright post every 3 ft in between. How many of these posts are needed?

Click here to see answer by ikleyn(52779)

Question 1114356: One side of a triangle is 18 cm. Inside the triangle, a segment is drawn parallel to the 18cm side, forming a trapezoid whose area is 1/3 that of the original triangle. Find the length of this segment.
Click here to see answer by Happy_Feet1012(1)

Question 1114354: An ice hockey goal is 4ft. by 6ft. and a hockey puck has a diameter of 3 inches and is 1-in. thick. If a flat puck sitting on its diameter goes into the goal, what percent of the goal does it go through(to the nearest thousandth)?
Click here to see answer by Alan3354(69443)

Question 1114397: The length of a rectangle lawn between classroom building is 2 yd less than twice the width of a lawn. A path that is 34 yd long stretches diagonally across the area. What are the dimensions of the lawn?
Click here to see answer by greenestamps(13200)

Question 1114436: A stop sigh is a regular octagon. The manufacturer can make 6 stop signs from a peice of 60 In by 90 in sheet metal. How much aluminum is left?
I already tried to find the area of 1 octagon by using the side length of 15 (even though one is not given) to find the perimeter and apothem, and put them in the area of a regular polygon formula, then multiplied the area I got by 6 and subtracted that number from the area of the aluminum, but I always got negative numbers because I ended up with the equation 5,400-6,518.4=-1,118.4 but since you can�t have a negative area, I know I�m doing it wrong.
Click here to see answer by Alan3354(69443)

Question 1114529: Jessica is making a triangle that has side lengths of 3.5 cm and 1.5 cm. What could the length of the third side be?

Click here to see answer by ikleyn(52779)

Question 1114634: "A triangular piece of fabric has a side lengths 1.2 feet,2 feet,and 1.6 feet".Will it fit in a corner of a rectangular quilt?

Click here to see answer by Alan3354(69443)

Question 1114676: The Major League Baseball website provides instructions for laying out a baseball field: �when the location of home plate is determined, use a steel tape to measure 1327 feet, 3 ⅜ inches in the desired direction to establish second base. From home plate measure 90 feet towards first base. From second base measure 90 feet towards first base. The intersection of these lines locates first base.�
How would you carry out the instructions to place first base? Be specific.

Click here to see answer by ikleyn(52779)

Question 1114652: The outside of a closed glass display case measures 22 inches by 15 inches by 12 inches. The glass is 1/2 inch thick. How much air is contained in the case?

Click here to see answer by Alan3354(69443)

Question 1114706: A triangle has two sides of length 8cm and 12cm. The length of the 3rd side CANNOT be
a)5 b)8 c)12 d)19 e)21
Click here to see answer by Boreal(15235)

Question 1114707: The area of an equilateral triangle is 12cm2. The area of its inscribed circle is...
Click here to see answer by Alan3354(69443)

Question 1114707: The area of an equilateral triangle is 12cm2. The area of its inscribed circle is...
Click here to see answer by ikleyn(52779)

Question 1114778: Find the lengths of each side give the following right triangle:
Base=x
hypotenuse=x+6
last side=x+3
thank you!
Click here to see answer by josgarithmetic(39617)

Question 1114771: I have a triangle. One of its angles is divided into two by a bisector. One of the two parts of the divided side is x and the total of two parts is 12. One of the other sides of the triangle is 9 and the other is not given. Find x.
If my explanation of the problem is not clear you can type angle bisector theorem practice into the google and click the first thing that came out. I don�t understand the 10th problem.
Click here to see answer by MathLover1(20849)

Question 1114965: A piece of wire 6 in long is cut into two pieces at a random point. What is the probability that both pieces of wire will be at least 1 in long?
Click here to see answer by josgarithmetic(39617)

Question 1115006: Sam wants to use a fence to divide her square garden in half diagonally. If each side of the garden is 15 ft. long, how long will the fence have to be? Round to the nearest tenth.
Click here to see answer by Alan3354(69443)

Question 1115039: Find the lengths of each side give the following right triangle:
Base=x
HYPOTENUSE= x+8
last side = 2x-8

Click here to see answer by rothauserc(4718)

Question 1115064: When the midpoints of the consecutive sides of a rectangle are joined in order, a rhombus is formed. Find the ratio of the areas of the rhombus and the rectangle.
Please explain. Thanks!
Click here to see answer by jim_thompson5910(35256)

Question 1115045: Please help:
mr. thomas owns a rectangular property that is 52 feet long and 35 feet wide. He adds a new triangular property directly behind his existing property. The base length of the triangular property is equal to the length of the rectangular property. An aerial view of the whole property is shown. The area of the whole property is 2600 square feet. Based on the diagram, what is the maximum height, in feet, of the triangular property
Click here to see answer by Theo(13342)

Question 1115158: A gazebo is being built in the shape of a regular hexagon. One side of the hexagon measures 5 ft. How much wood must be purchased for the chair railing that will surround the gazebo?

Click here to see answer by addingup(3677)

Question 1115353: A sports arena is in the shape of a rectangle. The arena has a length of (x − 3) feet and a width of (2x + 4) feet. Which of the following represents the area of the arena?
Click here to see answer by stanbon(75887)

Question 1113878: Find the dimension of the largest rectangle that can be inscribed in the right triangle with sides 3, 4, and 5 if a side of the rectangle is on the hypotenuse of the triangle.
Click here to see answer by math_helper(2461)

Question 1115370: n aquarium in the shape of a rectangular prism has a bottom, no top, two square sides, and two sides the same height as the square sides but twice their length. The total area of the five sides is 1,800 in2. What is the volume?
I don't understand how to do this type of problem.
Click here to see answer by mananth(16946)

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