Questions on Word Problems: Geometry answered by real tutors!

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Question 911609: A large garden has the shape of a right triangle. One leg of the garden is 452 feet long. If the hypotenuse is 100 feet longer than the other leg, please find the perimeter of the garden. What I have done is use the Pythagorean theorem but I kept getting a no solution type of answer where x was cancelled out and all that was left was a very high number.
Click here to see answer by JoelSchwartz(130)

Question 911532: A circular cylinder is circumscribed about a right prism having a square base one meter on an edge. The volume of the cylinder is 6.283 cu.M. What is the altitude of the cylinder in meters?
Click here to see answer by KMST(5328)

Question 911712: i need this with the p=2l+2w formula. Two rectangular solar panels are placed on the roof of a house. One panel is 4 ft wider than the other. If there combined width is 21 ft, what is the width of each panel
Click here to see answer by JoelSchwartz(130)

Question 911723: In a triangle, the first angle is 5 degrees less than the third angle. The second angle is 10 degrees more than 3 times the third angle. Find the measures
Click here to see answer by rfer(16322)

Question 911715: a jet traveling 480 miles per hour leaves San Antonio for San Francisco, a distance of 1632 miles. An hour later another plane, going the same speed, leaves San Francisco for San Antonio. How long will it take before the planes to pass each other
Click here to see answer by richwmiller(17219)

Question 911732: you receive an inheritance of $20,000 and decide to split it into two parts to invest. One part was invested at 6% interest and the rest at 8% interest. Find the amount invested at each rate if the annual income from the two investments is $1,500.
Click here to see answer by richwmiller(17219)

Question 911735: A radiator contains 9 quarts of fluid, 30% of which is antifreeze. How much fluid should be drained and replaced with pure antifreeze so that the new mixture is 40% antifreeze? (Round your answer to two decimal places.)
Click here to see answer by richwmiller(17219)

Question 911772: You want to mark off a square region in your yard for a patio. You use a tape measure to mark off a quadrialteral on the ground. Each side of the quadrilateral is 2.5 meters long. Explain how you can use the tape measure to make sure that the quadrilateral you drew is a square.
Click here to see answer by richwmiller(17219)

Question 911791: The perimeter of a yield sign is 22 feet and has the shape of an isosceles triangle. If the shortest side is two feet less than the other two sides, find the length of the shortest side.
I need to set up an algebraic expression to solve problem
Click here to see answer by rothauserc(4718)

Question 911865:
4(n+2)
------ = 3 - (n+6)
5
Click here to see answer by MathLover1(20849)

Question 911901: A cellular telephone company has currently enrolled 36,000 customers in a new calling plan. If an average of 1,200 people are signing up for the plan each day, in how many days will the company surpass their goal of having 150,000 customers enrolled?
Click here to see answer by richwmiller(17219)

Question 911912: 2/5x-10=4/5x
Click here to see answer by Alan3354(69443)

Question 911926: 3(2a+3)=-3(a-5)+4
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Question 911941: i need help with this problem
Stephen has $40,000 to invest in two accounts and one account pays 4% and the other pays 6%. The annual income from these accounts is $2040. How much did he invest in each account

Click here to see answer by richwmiller(17219)

Question 911920: 3/2 + 2y = 4y - 3/4
Click here to see answer by MathLover1(20849)

Question 912054: You have 600 yards of fencing to enclose a rectangular
field. Express the area of the field, A, as a function of
one of its dimensions, x.
Click here to see answer by Alan3354(69443)

Question 912087: Mr. Flores has a circular fountain with a radius of 5 feet. He plans on installing a brick path around the fountain. If each brick covers 2 square feet, how many brick will he need to buy?
Click here to see answer by Alan3354(69443)

Question 912097: A garden measuring 70 feet by 60 feet is to have a pedestrian walkway built around all four of its sides. The total area of the garden, including the walkway, will be 5690.36 ft^2. What is the width of the walkway?
Click here to see answer by richwmiller(17219)

Question 912139: What is the furthest away that two points in space can be, if the first is on the surface of the sphere with center (1,-4,9) and radius 15 and the other is on the surface of the sphere with center (-3,10,-6) and radius sq root of 17?

Click here to see answer by Edwin McCravy(20054)

Question 912244: 1.what will be the diagonal of a square whose perimeter is 60m?
2.The sides of a rectangular field of area 726 sq meters are in the ratio 3:2 . find the length of its diagonal correct up to one decimal place ?
Click here to see answer by jim_thompson5910(35256)

Question 912503: the perimeter of a rectangle is 106 cm. If the length is 7 cm less than three times the width, what are the dimensions. I know P=2l+2w But I can not figure out how to write this problem!
Click here to see answer by ewatrrr(24785)

Question 912576: Please help.
1. Measure a distance 10 cm straight East and mark it as Point A.
a. Write down the Distance for Leg 1.
b. Measure and write down the Displacement.
2. Measure a distance 10 cm straight North and mark it as Point B.
a. Write down the Distance for Leg 2.
b. Write down the Total Distance Traveled from Home.
c. Using the ruler and protractor measure and write down the Displacement.
d. Use Trigonometry to calculate the Displacement.
e. Compare Calculation to Measurement.
3.Measure a distance 10 cm straight-West and mark it as Point C.
a. Write down the Distance for Leg 3.
b. Write down the Total Distance Traveled from Home.
c. Using the ruler and protractor measure and write down the Displacement.
d. Use Trigonometry to calculate the Displacement.
e. Compare Calculation to Measurement.
4. Measure a distance 10 cm straight South. Where are you?
a. Write down the Distance for Leg 4.
b. Write down the Total Distance Traveled from Home.
c. Measure and write down the Displacement. Thanks in advance.
Click here to see answer by Alan3354(69443)

Question 912642: The base is b and the height is b-4

I don't get this
Click here to see answer by jim_thompson5910(35256)

Question 912642: The base is b and the height is b-4

I don't get this
Click here to see answer by Alan3354(69443)

Question 912748: Luke's rectangular bedroom is 540 f. The width is 1.5ft shorter than the length. I wrote the equation out 540=x(x t 1.5) but I don't know how to find the dimensions. Can you teach me how to solve for the dimensions please?
Click here to see answer by JulietG(1812)

Question 912708: a box has a top area of 5400sq cms and a front area of 7200sq cms and an end area of 4800sq cms what are the dimensions of the box in cms?
Click here to see answer by mananth(16946)

Question 912901: Bill measured the widest distance across the top of a circular can to be 14 centimeters.what is the distance around the rim of the can
Click here to see answer by ewatrrr(24785)

Question 912965: Are two lines that are both perpendicular to the same line always parallel to each other ? Explain in words.

Click here to see answer by ewatrrr(24785)

Question 913079: Hello, I'm having trouble with this problem.
Tina made a quilt that was 8 inches taller than it was wide. She then sewed a 4 inch border around the entire quilt. If the area of the quilt and its border is 1920 square inches, find the dimensions of the quilt without the border?
Click here to see answer by ankor@dixie-net.com(22740)

Question 913148: the area of a square is 1/4th as large as the area of a triangle. One side of the triangle is 16 inches long, and the altitude to that side is the same length as a side of the square. Find the length of a side of the square.
Click here to see answer by mananth(16946)

Question 912414: IF A ROOM MESSURES AT 118 SQ FT. WHAT ARE THE MESSUREMENTS OF WITH AND LENGHT ON EACH WALL ......
Click here to see answer by Fombitz(32388)

Question 913296: A swimming pool is 30 feet wide and 60 feet long. If it is surrounded by square tiles, each of which is 1 foot by 1 foot, how many tiles are there surrounding the pool?
Click here to see answer by josmiceli(19441)

Question 913414: A rectangle is 5cm longer than it is wide. It's perimeter is 18cm. Solve the equation to find the width of the rectangle.
Click here to see answer by ewatrrr(24785)

Question 913447: a lot is 60 m by 35 m. A house 25 m by 8 m is built on the lot. how much is left over
Click here to see answer by josmiceli(19441)

Question 913447: a lot is 60 m by 35 m. A house 25 m by 8 m is built on the lot. how much is left over
Click here to see answer by gussy245(2)

Question 913629: Hello, I'm having a hard time solving this problem:
A guy wire 40 feet long runs from the top of a pole to a spot on the ground. If the height of the pole is 5 feet more than the distance from the base of the pole to the spot where the guy wire is anchored, how tall is the pole?
Click here to see answer by mananth(16946)

Question 913573: jose has a garden in his backyard. his garden measures 33 feet by 39 feet. the garden has a path around it that is 3 feet wide. how much fencing material does jose need to enclose the garden and path?
Click here to see answer by josgarithmetic(39617)

Question 913631: Hello, I'm having a hard time solving this problem:
The length of a rectangular quilt is 1 foot more than its width. If the diagonal of the quilt is 6.5 feet, find the length and width of the quilt?
Click here to see answer by mananth(16946)

Question 913703: A concrete patio is 5 2/3 feet wide. It has an area of 36 5/6 square feet. Is the concrete slab long enough to fit a 7-foot table without placing the table along the diagonal of the patio?
Click here to see answer by ewatrrr(24785)

Question 913706: perimeter of a rectangle is 34 cm. One side is 7 cm longer than the other side. what is the lengths of the other sides
Click here to see answer by ewatrrr(24785)

Question 913749: The dimensions of a classroom are 10 m, 8 m and 5 m.the cost of decorating it's walls by a wallpaper of 1 m width and which costs rs.50 per meter is -----?
Click here to see answer by ewatrrr(24785)

Question 913859: Jeremy bought an aquarium for his bedroom. The aquarium is a right rectangular prism 50 cm long, 25.4 cm wide, and 56 cm deep. He wants to fill
3
4
of the aquarium with water.
What volume of water should Jeremy put into the aquarium?
Click here to see answer by Alan3354(69443)

Question 913948: Hi can please help me to solve this problem? Thank you for your time and efforts. Here is the question? Find the amount of floor area covered by a circular throw rug that has a radius of 15 inches. Round to the nearest square inch.
Click here to see answer by MathLover1(20849)

Question 913967: The height of a right triangle is 3 feet more than three times the length of its base. Express the area of the triangle as a function of the length of its base, x, in feet.
Click here to see answer by mananth(16946)

Question 913950: Hi can please help me to solve this problem? Thank you for your time and efforts. Here is the question? The seawater Orthlieb Pool in Casablanca Morocco, is the largest swimming pool in the world. With a perimeter of 1,110 meters, this rectangular-shaped pool is 30 meters longer than 6 times its width. Find its dimensions?
Click here to see answer by mananth(16946)

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