Questions on Word Problems: Geometry answered by real tutors!

Tutors Answer Your Questions about Geometry Word Problems (FREE)

Question 193102: A rectangular picture frame is 4 times as wide as its length with a perimeter of 80 inches. Find the dimensions.
Click here to see answer by orca(409)

Question 193147: One dimension of a cube is increased by 1, another is decreased by 1, and the third is left unchanged. The volume of the new rectangular solid is 5 less than that of the cube. What is the volume of the cube?
Please explain how to solve this problem.
Click here to see answer by Earlsdon(6294)

Question 193184: Mrs. Sterling's will states that three fourths of her estate will be left to her son and $24,000 will go to her niece. Half of the remainder will got to her church. One third of the money remaining after the church donation will go to her alma mater and the remaining $4000 will pay for Mrs. Sterling's attorney. How much is Mrs. Sterling's estate worth?
Click here to see answer by ankor@dixie-net.com(15747)

Question 193496: One angle of a triangle is 20 degrees. The second angle's measurement is four times the third. What is the measure of the third?
Click here to see answer by Edwin McCravy(8999)

Question 193536: The Great Pyramid of Cheops has a square base of 771 ft on
a side and a height of 486 ft. How many apartments 35 ft x
20 ft x 8 ft would be needed to have a volume equivalent to
that of the Great Pyramid’s?
Please show me how to work this problem. Thank you.
Click here to see answer by vleith(2825)

Question 193537: A heavy metal sphere with radius 10 cm is dropped into a
right circular cylinder with base radius of 10 cm. If the
original cylinder has water in it that is 20 cm high, how
high is the water after the sphere is placed in it?
I do not understand how to solve this. Please help. Thank you.
Click here to see answer by vleith(2825)

Question 193565: Explain how you would find the volume of an irregular
shape.
Click here to see answer by stanbon(57984)

Question 193755: the length of the cover of a road atlas is 4 in. more than the width. The area is 165 in^2. Fnd the dimensions of the cover

answer: 15 inch by 11 inch anyone can give a complete break down on why the anwer is 15 inch by 11 inch
Click here to see answer by stanbon(57984)

Question 193631: THe sculpture Batcolumn by Claes Oldenburg and Coosje van Bruggen is a giant replica of a baseball bat and is 100 ft and 9 in. tall What is the ratio of the volume of this sculpture to the volume of a real baseball bat that is 35 in. long?
Click here to see answer by checkley77(12569)

Question 193894: I have a problem that I need help on. AC=16m AB=?m angle of a is 45 degrees angle of c is 45 degrees. Multiple choice 16square2, 8square2, neither of these. Thank you.
Click here to see answer by vleith(2825)

Question 194227: Hi!!! Im Very Confused with this problem:
The Longest side of a triangle is twice as long as the shortest side and 2cm longer than the third side. if the perimeter of the triangle is 33 cm, what is the lenght of each side?
Pls Help me!!! Thank you!!!
Click here to see answer by nerdybill(7011)

Question 194231: Find x in each of the following where length is 73m, and length is 42 m, and width is 50 m. Thank you for all of your help!
Click here to see answer by stanbon(57984)

Question 194194: A rectangular tank 3.6 m long, 2 m wide and 1.8 m high was 5/8 filled
with water. The water dripped from the container at a rate of 0.06 m3
per second. What was the volume of water left at the end of 1 minute?
Click here to see answer by ankor@dixie-net.com(15747)

Question 194396: The perimeter of a basketball court is 102 meters. The length of the court is 6 meters more than twice the width. What are the dimensions of the court?
Click here to see answer by nerdybill(7011)

Question 194474: REP makes and sells TV satellite dishes. The broadcast companies give them the machining specifications for the best possible signal collection. Their production machine is programmmed to form each dish using the function:
for y-values greater than 0
If the machine is programmmed in centimeters, what are the minimum dimensions of the cardboard box needed to ship each individual dish?
Click here to see answer by nerdybill(7011)

Question 194818: A rectangle has one side that is 2ft longer than the other. The diagonal is 10ft. What is the perimeter?
This is an extra credit question from my college Algebra II professor. I have no idea how to go about solving it. Any help is greatly appreciated.
Click here to see answer by solver91311(17077)

Question 194941: Three pizzas of the given diameter are cut as indicated. Which cut produces the largest pieces?
a. An 8-inch pizza cut into 6 congruent slices
b. A 12-inch pizza cut into 8 congruent slices
c. A 16-inch pizza cut into 10 congruent slices
I chose A, but I'm not really sure if the drawings I made are accurate.
Click here to see answer by ankor@dixie-net.com(15747)

Question 195142: please help me solve this i've been trying forever.
the width of a rectangle is 3 cm less than the length. if the diagonal of the rectangle is 20 cm., find the width and length to the nearest hundredth.
thanks.
Click here to see answer by Alan3354(31538)

Question 195532: on a door is a sign that says WELCOME TO OUR HOME.the sign is in the shape of a regular octogon.what is the measure of one of the interior angeles of the sign?
Click here to see answer by user_dude2008(1861)

Question 195505: Joe is 1.6 m tall. His shadow is 2m long when he stands 3m from the base of a floodlight. What is the height of the floodlight?
Click here to see answer by checkley77(12569)

Question 195732: A ladder leans against the side of a house. The angle of the elevation of the ladder is , and the top of the ladder is above the ground. Find the distance of the foot of the ladder from the side of the house. Round your answer to the nearest hundredth.
Click here to see answer by user_dude2008(1861)

Question 195913: John wants to fence a 150 square meters rectangular field .He wants the length and width to be natural numbers. What field dimensions will require the least amount of fencing?
Click here to see answer by strickjh2005(4)

Question 195848: If the sides of a square are increased by 2 meters, the area becomes 49 square meters. Find the length of a side of the original square.
Click here to see answer by ankor@dixie-net.com(15747)

Question 195972: A goat is attached to a rope 8 yards long, which is attached to the corner of a rectangular shed in a grassy field with dimensions of 5 yards by 7 yards. What is the area of the patch of grass that the goat can graze?
Click here to see answer by nerdybill(7011)

Question 196019: The length of a rectangle is 6 inches less than three times its width. Find the dimensions of the rectangle if its area is 45 square inches.
Click here to see answer by RAY100(1637)

Question 196273: . Given the figure shown with AX || DY , find the following:
____(a) m(<1)
____(b) m(<2)
____(c) m(<3)
____(d) m(<4)
____(e) m(<5)

Click here to see answer by solver91311(17077)

Question 196649: 1. A small area in front of a building is triangular in shape. The perimeter of the triangle is 49 meters. The second side is one-fourth of the first side in length. The third side is 4 meters more than the first side. Find the length in meters of each side of the triangular region.
Click here to see answer by ankor@dixie-net.com(15747)

Question 196683: calculate the volume of a rectangular prism with dimensions 18ft. by 15ft. by 19ft.
Click here to see answer by Mathtut(3670)

Question 196934: a boat moving 12 miles per hour north is being blown off course by a 9-mile per hour wind blowing west at what angle is the boat being moved off course
Click here to see answer by ankor@dixie-net.com(15747)

Question 197040: Hi, I am having trouble figuring out the formula for this problem. How do I set it up to find the answer? Can you help me figure this out? Thank you.
Find the length of the diagonal of a square patio with an area of 40 square meters.
Click here to see answer by nerdybill(7011)

Question 197027: Jim’s nephew owns a triangular plot of land. The perimeter fence that surrounds the land measures 121 feet. The shortest side is 15 feet longer than one-half of the longest side. The second longest side is 4 feet shorter than the longest side. What is the length of each side?

Click here to see answer by solver91311(17077)

Question 197062: the volume of a rectangular box is given by v=(length)(width)(height). a 10 in. by 15in. rectangular piece of cardboard with squares with sides of length x cut from each corner is used to make the box. what is the expression for the volume of the box created by folding up the sides.
Click here to see answer by solver91311(17077)

Question 197128: The base of a triangle is 2cm shorter than the width of a rectangle. The rectangle's length is 4 times the width and the triangle's height is twice the rectangle's length. Find the area of each figure if the difference of their areas is 30m^2.
Click here to see answer by edjones(7569)

Question 197175: A rectangle has sides of lengths x and 2x. Express the area A of the rectangle as a function of its perimeter P.
Click here to see answer by vleith(2825)

Question 197328: concrete can be purchased by the cubic yard. how much will it cost to pour a circular slab 18 ft in diameter by 3 in. for a patio if the concrete costs $40.00 per cubic yard?
Click here to see answer by ankor@dixie-net.com(15747)

Question 197442: If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?
The answer is 1.09 days, however I need to figure out the mathmatical breakdown that gives me this answer as my equations give me 1.23 days.
4/6=0.7
6/2=3
3.7/3=1.23
Any help would be greatly appreciated!!
Thank you,
Erica
Click here to see answer by Alan3354(31538)

Question 197653: a rectangular lawn is 80 ft by 60ft. part of the lawn is torn up to install a sidewalk of equal width around the lawn. The new area of the lawn is 800 ft^2. how wide is the sidewalk?
Hi - I can't figure this out. I know the area of the first rectangle is 4800 ft^2. Once I reduce the lawn I think the length is 40 ft and the length is 20 ft. That leaves 4000 ft of area. I don't konw how to find the width of the sidewalk. Thanks for your help.
This is not from a textbook but a worksheet my teacher gave us.
Click here to see answer by stanbon(57984)

Question 197772: A tree casts a shadow of 24 meters when the angle of elevation of the sun is 28 degees. Find the height of the tree to the nearest meter.
The answer is 13 but I'm not sure how to solve it..
Click here to see answer by ankor@dixie-net.com(15747)

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