Questions on Word Problems: Geometry answered by real tutors!

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Question 121776: Find the hypotenuse of a right triangle with sides 5 inches and 10 inches.
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Question 122205: a swimming pool is 20 feet wide and 40 feet long it is surrounded by square tiles each 1 foot by 1 foot. how many tiles are there surrounding the pool?
Click here to see answer by rajagopalan(174) About Me 

Question 122350: Christine has a solar panel with a width of 21 in. To get the proper inclination for her climate, she needs a right triangle support frame that has one leg twice as long as the other. To the nearest tenth of an inch, what dimensions should the frame have?
Hint: Do not round your answer(s) until the very end.
Shorter side=?
Longer side=?

Click here to see answer by solver91311(24713) About Me 
Question 122350: Christine has a solar panel with a width of 21 in. To get the proper inclination for her climate, she needs a right triangle support frame that has one leg twice as long as the other. To the nearest tenth of an inch, what dimensions should the frame have?
Hint: Do not round your answer(s) until the very end.
Shorter side=?
Longer side=?

Click here to see answer by checkley71(8403) About Me 
Question 122350: Christine has a solar panel with a width of 21 in. To get the proper inclination for her climate, she needs a right triangle support frame that has one leg twice as long as the other. To the nearest tenth of an inch, what dimensions should the frame have?
Hint: Do not round your answer(s) until the very end.
Shorter side=?
Longer side=?

Click here to see answer by stanbon(75887) About Me 

Question 122354: The Diaz family went to the Dizzy Amusement park. The tickets cost $73 for 3 adults and 5 children. The Anderson family paid $93 for 7 adults and 2 children. The Owens-Faulkner family reunion will need tckets for 55 adult and 53 children. What will the total cost for the Owens-Faulkner family reunion to enter the amusement park?[No group discounts were given.]
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 122623: If each dimension of a rectangle were increased by 5 feet, the area would be increased by 95 feet and one dimension would become twice the other. Find the original dimensions.
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Question 122737:

A rectangle has vertices Q(5,6), R(5,-3), S(1,-3), and T(1,6). Find
a) the perimeter
b) the area

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Question 122761: Solve.
The longer leg of a right triangle is 3 cm less than twice the shorter leg. The hypotenuse is 18 cm long. Find the length of the shorter leg.

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Question 122761: Solve.
The longer leg of a right triangle is 3 cm less than twice the shorter leg. The hypotenuse is 18 cm long. Find the length of the shorter leg.

Click here to see answer by checkley71(8403) About Me 

Question 122955: Originally a rectangle was twice as long as it was wide. When 5m was subtracted from its length and 3m from its width, the resulting rectangle had an area of 55m squared. Find the dimensions of the new rectangle.
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Question 123075: Julia's soybean field is 3 m longer than it is wide. To increase her production, she plans to increase both the length and width by 2 m. If the new field is 46m2 larger than the old field then what are the dimensions of the the old field?
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Question 123188: The measure of angle #1 is 43 derees, The measure of angle #2 is equal to 86 degrees, What is the measurement of angle #3.
Answers are: 1). 137degrees, 2). 94 degree 3). 129 degree 4). 172 degree
and 5). 51 degrees
I picked the answer----51 degrees

a right angle with a line goes off
bottom leg toward the top to make a 43 degree angle on top of the top
leg of the triangle.
Right angle is 86 degrees inside (< )
do not know how to draw this,
maybe you can figure what I am askng .

Click here to see answer by Fombitz(32388) About Me 

Question 123553: The perimeter of a rectangle is 114 ft.Its length is 3 more than 2x its width.Find the dimensions of the rectangle.
Click here to see answer by elima(1433) About Me 

Question 123649: You are putting a brick sidewalk around two edges of a rectangular rose garden that measures 16ft by 8ft. Your budget allows only enough bricks to cover 52 sq ft. How wide should the sidewalk be.
16x X 8x
x=2.46 width

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Question 123717: The lentgh of a rectangle is 2in. more than than twice its width . If the perimeter of the rectangle is 34 in.,find the dimensions of type rectangle.
Click here to see answer by nadinadan(32) About Me 

Question 124368: Perimeter of a rectangle. The width of a rectangular playground is 2x-5 feet and the length is 3x+9 feet. Write a polynomial P(x) that represents the perimeter and then evaluate this perimeter polynomial if x is 4 feet.
Click here to see answer by bucky(2189) About Me 

Question 124364: Area of a painting. A rectangular painting with a width of x centimeters has an area of x^2+50x square centimeters. Find a binomial that represents the length.
Click here to see answer by Earlsdon(6294) About Me 

Question 123841: Cookies are sold singly or in packages of 2 or 6. How many ways can you buy a dozen cookies?
Click here to see answer by iluvbuilding429(41) About Me 

Question 124570: Rectangular stage. One side of a rectangular stage is 2 meters longer than the other. If the diagnonal is 10 meters, then what are the lengths of the sides?
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Question 124534: The perimeter of a square is three times the perimeter of a regular hexagon. The length of a side of the square is 2 inches more than four times the length of a side of the hexagon. What is the perimeter of the square and hexagon?
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Question 124666: Can you give me a shortcut formula for this problem???
Problem:"On a plane containing a line segment, how many points are equidistant to the ends of the segment?"

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Question 124662: Solve.
The shorter leg of a right triangle is 4 cm less than the longer leg. The hypotenuse is 6 cm long. Find the length of the longer leg.

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Question 124665: My question goes like this..."With two sticks of length 6 cm. and 9cm., how many triangles can be formed with the two sticks and a third stick with integral length?"
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Question 125005: if the area if a triangular sail is 10 square feet and the base is 4 feet long, find the sail height
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Question 125152: The length of a rectangle is twice the length of each side of a square and the width of the rectangle is 1 inch less than the length of each side of the square. The perimeter of the rectangle exceeds the perimeter of the square by three. Find the length of each side of the square.
I tried solving it, but each time I got a negative answer.

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Question 125152: The length of a rectangle is twice the length of each side of a square and the width of the rectangle is 1 inch less than the length of each side of the square. The perimeter of the rectangle exceeds the perimeter of the square by three. Find the length of each side of the square.
I tried solving it, but each time I got a negative answer.

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

Question 125348: The ancient Greeks thought that the most pleasing shape for a rectangle was one for which the ratio of the length to the width was 8 to 5, the golden ratio. If the length of a rectangular painting is 2 feet longer than its width, then for what dimension would the length and width have the golden ratio?
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Question 125496: the area of a rectangular wall of a barn is 96 square feet. its length is 10 feet longer than the width. find the length and width of the wall of the barn.
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Question 126221: two angles are complementary if their sum is 90 degrees. the second angle is 6 less then the 3times the first. find the two angles
Click here to see answer by uma(370) About Me 

Question 126361: The lengths of two sides of a parallelogram are consecutive even integers and the perimeter of the parallelogram is 36 cm. What is the length of the longer side?
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Question 126361: The lengths of two sides of a parallelogram are consecutive even integers and the perimeter of the parallelogram is 36 cm. What is the length of the longer side?
Click here to see answer by checkley71(8403) About Me 

Question 126583: The length of a rectangle is 50 ft. The perimeter of the rectangle is 275 ft. more than the width of the rectangle. Find the width
Click here to see answer by checkley71(8403) About Me 
Question 126583: The length of a rectangle is 50 ft. The perimeter of the rectangle is 275 ft. more than the width of the rectangle. Find the width
Click here to see answer by marcsam823(57) About Me 

Question 126584: A sphere has a diameter of 12m. Find its volume using Pie=3.14 as an approximation
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Question 126610: One circle has a radius of 8 m, and a second circle has a radius of 10 m. What is the difference in area of the two circles. Use ~=3.14 as an approximation.
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Question 126611: Each of the equal angles of an isosceles triangle measures 25 degree less than twice the vertex angle. Find the measure of the vertex angle.
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Question 126669: I struggle with word problems but I think I have this one...I just need someone to double check and make sure I am on the right track. Thanks!
Problem: The mainsail of a lightning sailboat is a right triangle in which the hypotenuse is called the leech. If a 24ft tall mainsail has a leech length of 26ft. and if the sailcloth costs $10 per square foot, find the cost of a new mainsail.
a^2 + b^2 = c^2
x^2 + 24^2 = 26^2
x^2 + 576 = 676
x^2 + 576 - 676 = 0
x^2 - 100 = 0
(x + 10)(x - 10)
x = 10

Click here to see answer by edjones(8007) About Me 

Question 126667: I am not sure how to do this problem. I appreciate all the help I can get. Problem: An open retangular gutter is made by turning up the side of a piece of metal 20 in. wide. The area of the cross section of the gutter is 50 in.^2. Find the depth of the gutter.

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Question 126727: A bullet was fired such that it just grazed the top of the table. It entered a wall, which is 3.84m from the graze point in the table, at a point 1.41m above the tabletop. At what angle was the bullet fired above the horizontal?
Click here to see answer by josmiceli(19441) About Me 

Question 126725: ONE ANGLE OF A TRIANGLE HAS A MEASURE THAT IS 10 MORE THAN TWICE THAT OF THE SECOND ANGLE. THE THIRD ANGLE HAS A MEASURE 10 LESS THAN THE FIRST. FIND THE MEASURE OF EACH ANGLE OF THE TRIANGLE.
Click here to see answer by checkley71(8403) About Me 

Question 126730: From a space probe circling Io, one of Jupiter's moons, at an altitude of 552km, it was observed that the angle of depression at the horizon was 39.7 degrees. What is the radius of Io?
Click here to see answer by Earlsdon(6294) About Me 

Question 126807: If two opposite sides of a square are increased by 6 meters and the other sides are decreases by 4 meters, the area of the rectangle that is formed is 96 square meters. Find the area of the original square.
I've gotten as far as finding x at least I think 10, -12...but I don't know where to go from there. :(

Click here to see answer by checkley71(8403) About Me 

Question 126805: A piece of tin, y=11 inches on a side, is to have four equal squares cut from it's corners. If the edges are then to be folded up to make a box with a floor area of 25 square inches, find the depth of the box.
This problem has me stumped :( please help :-)

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

Question 126990: a compass and ruler together cost $4. the compass costs 0.90 more than the ruler. how much does the cmpass cost?
can you please show the work so I understand how you came up with the answer?

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