Questions on Word Problems: Geometry answered by real tutors!

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Question 170699: The length of a rectangular tennis court is five feet more than twice the width. The perimiter is 82 feet. Write an equation, and solve the equation to find the width.
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Question 171000: Hello
My name is Deborah. I was wondering if you can help me solve this problem.
A rectangular room is 14ft by 12ft. A carpenter plans to instll molding along the top of each wall. What is the perimeter of the room in feet?
This is my answer. 52
14x14=28
12x12=24
28+24=52ft
Thank you in advance.

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Question 171016: The length of a rectangle is 1ft less than twice its width. The area is 55ft^2 find the perimeter.
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Question 171060: If a 5x9x12 rectangular block of wood is painted red and then cut into 540x1x1x1 cubes, how many cubes will have red paint on them?
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Question 171182: The area of a right triangle is 250in square. Find the lengths of its legs if one leg is 5inches longer than the other.
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Question 171182: The area of a right triangle is 250in square. Find the lengths of its legs if one leg is 5inches longer than the other.
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Question 171165: One side of a rectangular stage is 2 meters longer then the other. If the diagonalis is 10 meters then what are the lenghts of the side?
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Question 171289: I need your help on the following word problem:
A rectangle is 15cm wide and 18cm long. If both dimensions are decreased by the same amount, the area of the new rectangle is 116cm squared less than the area of the original. Find the dimensions of the new rectangle.
Thank You

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Question 171289: I need your help on the following word problem:
A rectangle is 15cm wide and 18cm long. If both dimensions are decreased by the same amount, the area of the new rectangle is 116cm squared less than the area of the original. Find the dimensions of the new rectangle.
Thank You

Click here to see answer by solver91311(24713) About Me 

Question 171431: 93. You are taking a pottery class. As an assignment, you are given a lump of clay whose volume is 200 cubic centimeters and asked to make a cylindrical pencil holder. The pencil holder should be 9 cm high and have an inner radius of 3 cm. What thickness "x" should your pencil holder have if you want to use all the clay? (hint: the volume of clay equals the difference of the volumes of two cylinders.)
The answer in the back of the book is "about" 1 cm but i dont know why. Should i use completing the square? ive tried all the cylinder equations and nothing gives me 1.

Click here to see answer by Mathtut(3670) About Me 
Question 171431: 93. You are taking a pottery class. As an assignment, you are given a lump of clay whose volume is 200 cubic centimeters and asked to make a cylindrical pencil holder. The pencil holder should be 9 cm high and have an inner radius of 3 cm. What thickness "x" should your pencil holder have if you want to use all the clay? (hint: the volume of clay equals the difference of the volumes of two cylinders.)
The answer in the back of the book is "about" 1 cm but i dont know why. Should i use completing the square? ive tried all the cylinder equations and nothing gives me 1.

Click here to see answer by scott8148(6628) About Me 

Question 171333: A wall of a tent is shaped like a triangle and has an area of 48 square feet. The base of the wall is 2 feet shorter than 3 times the height. Find the length of the base and the height of the wall.
My Work:
A= 1/2bh ------ b=3x-2 --------- h=x
A= 1/2 bh --------- 48= 1/2(3x-2)(x)------- 48=1/2(3x^2-2x)---------- 96=3x^2-2x---- 0= 3x^2-2x-96--------- 0=(3x-?)(x+?)
*** the carrot 2 means "three x squared"

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Question 171460: a rectangle is one fourth as wide as it is long. it is 20 feel long. what is its perimiter?
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Question 171596: This year Mr. Markel is getting paid $216,000 to teach two algebra classes. This is 8% more than he was paid last year. What was he paid last year?

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Question 171598: Latisha puts a fence around her back yard. She finds that she uses 15 more feet for each long side of the yard than she does for each width. If she used 70ft of fencing, how long is each side of her yard(answer with a length and a width).
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Question 171598: Latisha puts a fence around her back yard. She finds that she uses 15 more feet for each long side of the yard than she does for each width. If she used 70ft of fencing, how long is each side of her yard(answer with a length and a width).
Click here to see answer by monika_p(71) About Me 

Question 171595: The measure of the second angle of a triangle is 30% more than that of the first angle. The measure of the third angle is 10% less than twice the first angle. Find the measures of all the angles.
I tried doing somethings but honestly i don't even know where to start.

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Question 165840: find the equation of the circle touching the line x+2y=8 at (0,4)and passing through (3,7).
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Question 171545: If you are h feet above hte earth's surface, the distance, d, that you can see is approximately d (in miles)= square root of 3h/2.
Suppose you are on the roof of a building 900 ft. tall. How far can you see?(Calculate to two decimal places.)

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Question 171653: According to the 1998 Guinness Book of World Records stuntman Dan Koko fell a distance of 365 feet into an airbag after jumping from the Vegas World Hotel and Casino. The distance d in feet traveled by a freefalling object in t seconds is given by the formula d = 16t 2. To the nearest tenth of a second, how long did the stuntman's freefall last?
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Question 171737: The mean salary of 24 people is $9000. How much will one additional salary of $80000 increase the mean salary?
Please help me!! thank you

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Question 171739: A decorator plans to place a rug in a room 9 m by 12 m in such a way that a uniform strip of flooring around the rug will remain uncovered. If the rug is to cover half of the floor space, what should the dimensions of the rug be?
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Question 171882: I need help solving this problem. A 12 by 25 by 36 cm cereal box is lying on the floor on one if its 25 by 36 cm faces. A bug, located at one of the bottom corners of the box, must crawl along the outside of the box to reach the opposite bottom corner. What is the length of the shortest such path?
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Question 172249: 1.)a hexagon,a six sided figure,has two equal sides and four sides each measuring 12cm,16cm,18cm,and 24cm.find the length of one of the equal sides if the perimeter of the hexagon is 100cm.2.)In an isosceles triangle,there are two sides,called legs,with the same length.The third side is called the base.If an isosceles triangle has a perimeter of 345cm and base length of 85 cm,what is the length of each leg?3.)A triangle has sides with lengths in centimeters that are consecutive even integers.Find the lengths if the perimeter of the triangle is 186cm.
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Question 172291: In an isosceles triangle the base is a whole number and is 4 ft. less than the sum of the two equal sides. The perimeter is a whole number between 0 and 75 feet. Find the possible lengths of the equal sides.
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Question 172305: In a triangle the measure of the first angle is one-half the measure of the second angle. The third angle's measure is 20 degrees less than the measure of the second angle. What are the measures of the angles?
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Question 172332: If the three angles of a triangle have equal measures, find that measure.
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Question 172336: Two angles are complementary. One contains 30 degrees more than the other. Find both angles.
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Question 172337: How large is an angle whose supplement contains 12 degrees less than three times its complement?
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Question 172325: In a triangle the measure of the first angle is one-half the measure of the second angle. The third angle's measure is 20° less than the measure of the second angle. What are the measures of the angles?
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Question 172568: four times a number is 21 more than the number. What is the number?
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Question 172567: twice a number is 60 more than five times the number. What is the number?
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Question 172784: I need help with this story problem.
A triangular lot has a perimeter of 54 yards of fencing. The longest side of the lot is 11 yards longer than the shortest side. The other side is 7 yards longer than the shortest side. Find the value of the three sides.

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Question 172988: a ladder is 25ft long. the ladder needs to reach to a window that is 24ft above the ground.how far awayfrom the building should the bottom of the ladder be placed?
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Question 172988: a ladder is 25ft long. the ladder needs to reach to a window that is 24ft above the ground.how far awayfrom the building should the bottom of the ladder be placed?
Click here to see answer by Mathtut(3670) About Me 
Question 172988: a ladder is 25ft long. the ladder needs to reach to a window that is 24ft above the ground.how far awayfrom the building should the bottom of the ladder be placed?
Click here to see answer by monika_p(71) About Me 

Question 172992: What is the area of a polygon with points(10,6)(8,3)(6,-2)and (10,2)on a grid? and can you show me step by step how to do this
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Question 173274: The lenght of a rectangle is 4cm more than its width and 4cm less than the length of a diagonal of the rectangle. What is the area of the rectangle?
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Question 173453: if the perimeter of a rectangle is 20 feet anf the diagonal is 2 square root 13 feet, then what are the length and width?
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Question 173648: Width of a flower border A landscape architect has included a rectangular flower bed measuring 9 ft by 5 ft in her plans for a new buiding. She wants to use two colors of flowers in the bed, one in the center and the other for a border of the same width on all four sides. If she has enough plants to cover 24 ft^2 for the border, how wide can the border be?
(9-2x)(5-2x)=24
45-18x-10x+4x^2=24
4x^2-28x+21=0

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Question 173891: The lengths of the sides of a triangle are consecutive even integers. Find the longest side is it is 22 units shorter than the perimeter.
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Question 173922: the lenghof a retacgle is twice the width the perimeter is 42 inches.find the widht.
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Question 173875: The length of a rectangle is twice the width. The perimeter is 84 cm more than the width. Make a diagram and find the rectangle's dimensions.
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Question 174353: A professional painter can paint the interior of the Jacksons' house in 7 hours. John Jackson can do the same job in 12 hours. How long would it take these two people working together to finish the same job? Round to the nearest minute. Please solve step by step.
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Question 174346: The area of a trapezoid is 465ft what is its top base if the altitude is 28ft and the bottom base is 20ft. please solve it step by step.
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