Questions on Word Problems: Geometry answered by real tutors!

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Question 920982: The length of a rectangular plot of a land is 5 more than its breath,find the Dimension of the plot for which the area is minimum
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Question 921254: If a rectangle Dance floor length is 15 and the width is 10 how much greater is the length of the rectangle dance floor than it's width

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Question 921263: The perimeter of a rectangular field is 30 meters. The width is one-half.the length. If the length and width are whole numbers, what are the dimensions of the field?
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Question 921418: the sides of a right angled triangle are x cm, (x+1) cm and (x+3) cm. show that x2 -4x-8=0 and solve this equation to find the length of the triangle
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Question 921437: The length of a rectangle is six times its width.
If the area of the rectangle is 294 meters suared, find its perimeter.

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Question 921690: The square root of the sum of 2 consecutive odd integers is 1 less than 3 times the smaller integer. Find the integers..Pls help.thanks a lot.
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Question 921651: The search "A kite is on a 150 metre string that a boy holds 1metre above the ground. The horizontal distance of the kite from the boy is 80metres. How high is the kite above the ground?
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Question 921767: I have 2 questions I need help with, the first one is confusing me because I can't figure out if it is an area perimeter question or border, my teacher gave us an assignment but it had questions that are set up in a way she never showed us.
1) The hillcrest garden club wants to double the area of its rectangular rose be. Strips of the same width will be added to one end and one side to form a rectangle. If the bed was 17.5m by 12.2m, what are the dimensions of the new bed?
I have no idea how to do the second one, I was never given a question like this
2)Mike Powwell of the USA set a world record of 8.95m for the long jump in 1991. If he ascended to a maximum height of 1.1m, find the quadratic equation that describes his jump path.
If you are able to provide brief (or fully explained) steps to HOW it is worked out that would be amazing, I want to understand how to do it so I can practice. Thanks!

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Question 922099: I have a word problem and the example in the book isn't helping
The scale factor from the original proof (5"x4") to the reduced picture for a yearbook will be 8:5. Find the dimensions of the picture as it will appear in the yearbook.

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Question 922111: the length of the top of a table is 3m greater than the width. The area is 70m^2. find the dimensions of the table. the width and length.
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Question 922130: The ratio of two supplementary angles is 20:30. What is the measure of the smaller angle?
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Question 922034: A Gardener wants to fence a 350 square foot rectangular garden into 3 equal sections with fencing parallel to one of the sides of the rectangle. The total length of the garden area is 15 feet longer than twice its width. How much fencing should she purchase?
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Question 922036: A plane has a cruising speed of 150 miles per hour when there is no wind. At this speed, a plane flew 300 miles with the wind in the same amount of time it flew 200 miles against the wind. Find the speed of the wind.
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Question 922355: 3x-1+2x+7=180
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Question 922352: 3x-1+2x+7=180
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Question 922384: The perimeter of an equilateral triangle is 36 centimeters. If the triangle is dilated by a scale factor of 0.75, what is the length of the new side of the triangle?
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Question 922428: The length of a rectangle is 3 units less than 6 times its width. The area of the rectangle is 145 square units. Which of the following equations can be used to find w, the width of the rectangle?
A. 7w - 3 = 145
B. 6w^2 - 18w = 145
C. 7w - 18 = 145
D. 6w^2 - 3w = 145

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Question 922494: How high can you build your tree house if you have a 12 foot ladder that must be placed 3 foot from the tree for stability? Round to the nearest tenth.
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Question 922576: So, there's a rectangle named FGHJ. FG(top base) is 4x+11 and GH(right side) is 3x-1. The perimeter is 48. Find x, then find the area of the rectangle.
I've tried setting them equal to each other, but that didn't work because they both aren't going to be the same thing.

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Question 922578: I love 64 square foot to lay of sod.I believe the dimensions of a piece is 12 by 18 how many pieces would I need
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Question 922587: A prk is 155 meters long and 112 meters wide.ajogger goes around 6 times a day. How many meters is that?
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Question 922657: A wire is first bent into the shape of a square. Each side of the square is
8cm
long. Then the wire is unbent and reshaped into a rectangle. If the length of the rectangle is
10cm
, what is its width?

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Question 922719: if there is a rectangle that has an area of 45cm2 and a perimeter of 36cm what is its dimensions

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Question 922832: the perimeter of a rectangle os 18ft, and the area of the rectangle is 20 sq ft. what is the width of the rectangle ?

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Question 922832: the perimeter of a rectangle os 18ft, and the area of the rectangle is 20 sq ft. what is the width of the rectangle ?

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Question 923123: I can't seem to get the answer to this question: A= 36 square meters, P= 30 meters find the length and the width? Could you help me find the length and width please?
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Question 923123: I can't seem to get the answer to this question: A= 36 square meters, P= 30 meters find the length and the width? Could you help me find the length and width please?
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Question 923387: jim was at the racing track.he estimated that the length of the track he could see was 100m to the nearest 10metres. he timed a car as taking 5 seconds to the nearest second along the track he could see. work out the lower bound and the upper bound for the average speed of the car
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Question 923400: the height of an open box is 1 cm more than the length of a side of its square base. if the open box has a surface area of 96 cm^2, find the dimensions
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Question 923479: The height of the triangle is inches shorter than its base. The area of the triangle is 198 square inches. Find the dimensions of the triangle.
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Question 923570: The perimeter of a rectangular field is 660m. The length of the field is double it's breadth.Find it's length and breadth.

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Question 923576: The length of a rectangular garden is 135 m and breadth is 75 m.If Reeth takes 5 rounds of the garden, then what distance does she cover?

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Question 923607: Suppose Aldo has
8.28
pounds of seed. If it takes
6.9
pounds of seed to plant one acre of grass, how many acres of grass can be planted?

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Question 923625: A rectangular garden measures 3 m by 10 m. The length and width are both increased by the same amount. The area of the new garden is double the area of the old garden. Find the length and width of the garden




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Question 923802: A photograph is 16 inches wide and 9 inches long and is surrounded by a frame of uniform width x. If the area of the frame is 84 square inches, find the uniform width of the frame.
a. What is the area of the photograph and frame?
b. Given the area of the frame which is 84 square inches, formulate the relationship among three areas and simplify.
I'm not sure about letter b but is the equation a(w)= (16+2x)(9+2x) or a(w)= 4x^2+25x+144 correct?
And I'm not sure if I should just add the two areas for letter 'a' or the area given for the frame is just the area of its borders/sides with the portion of the picture cut out.

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Question 923818: Vicky used up a rectangular piece of cardboard to cut out 5 squares, 4 of which are of the same size. It is known that the area of the larger square is 4 times that of the smaller one. Find the ratio of the length of the smaller square to that of the larger square.
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Question 923831: The area of a triangular flag is 132 sq. centimeters. Its altitude is 2 centimeters longer than twice its base. Find the lengths of the altitude and the base.
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Question 923287: A wire is first bent into the shape of a rectangle with width
6in
and length
8in
. Then the wire is unbent and reshaped into a square. What is the length of a side of the square?

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Question 924116: find the equation. Orlando paid 55.60 for a number of tickets to a hockey game. If each ticket was 6.95 how many tickets did Orlando buy?
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Question 924127: Suppose T is the translation described by the vector (0,7) and S is the translation described by the vector (0,6). What vector describes the translation T following S? What vector describes the translation S following T?
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Question 923994: A triangle of base 6cm and height 1cm is given....a square is cut down from it tell the side of square
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Question 924281: A fence of length 100 feet is used to enclose a rectangular dog pen. The pen is 31 feet longer than it is wide. What are the dimensions of the pen?

Let x-width
31x+31x+x+x

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Question 924322: The perimeter of a square garden is 444m .what is its area

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Question 924345: [The length of a rectangular picture frame is 30 inches. The length of the frame is three inches less than twice the width. What are the dimensions of the frame?]
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Question 924386: four congruent squares are cut from all corners of a 22 cm. by 18 cm. illustration board. the sides are then bent up to form an open box. if the area of the bottom of the box is 320 sq. cm, what is the length of each side of the square?
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