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A square piece of sailcloth is trimmed by 4 feet on one edge to form a

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A square piece of sailcloth is trimmed by 4 feet on one edge to form a  [#permalink]

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New post 30 Sep 2015, 00:20
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Question Stats:

71% (02:46) correct 29% (02:51) wrong based on 93 sessions

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A square piece of sailcloth is trimmed by 4 feet on one edge to form a rectangular piece, which is then cut in half to create two triangular sails. If the area of each of the sails is 240 square feet, what was the perimeter of the original piece of sailcloth?


A) 75 feet

B) 88 feet

C) 96 feet

D) 104 feet

E) 576 feet

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Re: A square piece of sailcloth is trimmed by 4 feet on one edge to form a  [#permalink]

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New post 30 Sep 2015, 09:21
draditya wrote:
A square piece of sailcloth is trimmed by 4 feet on one edge to form a rectangular piece, which is then cut in half to create two triangular sails. If the area of each of the sails is 240 square feet, what was the perimeter of the original piece of sailcloth?


A) 75 feet

B) 88 feet

C) 96 feet

D) 104 feet

E) 576 feet


area of each triangle=1/2 * x * (x-4)=240..
x=24.. so perimeter = 24*4=96
C
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Re: A square piece of sailcloth is trimmed by 4 feet on one edge to form a  [#permalink]

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New post 30 Sep 2015, 10:57
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Hi draditya,

This question can be solved with a standard 'math' approach or it can be solved by TESTing THE ANSWERS.

We're given a number of facts to work with:
1) We start with a SQUARE piece of cloth.
2) We cut 4 feet off of one edge (and for a rectangle)
3) That rectangle is cut diagonally to form two sails (with area of 240 ft^2 each).

We're asked for the ORIGINAL PERIMETER of the cloth.

Let's TEST Answer B: 88 feet
If...
Perimeter = 88 feet
Dimensions = 22 by 22

Rectangle dimensions = 18 x 22
Triangle area = (1/2)(18)(22) = 198 ft^2 This is TOO SMALL.
Eliminate Answers A and B.

Let's TEST Answer D: 104 feet
If....
Perimeter = 104 feet
Dimensions = 26 by 26

Rectangle dimensions = 22 x 26
Triangle area = (1/2)(22)(26) = 286 ft^2 This is TOO BIG.
Eliminate Answers D and E.

There's only one answer left...

Final Answer:

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A square piece of sailcloth is trimmed by 4 feet on one edge to form a  [#permalink]

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New post 20 Jul 2016, 10:53
chetan2u wrote:
draditya wrote:
A square piece of sailcloth is trimmed by 4 feet on one edge to form a rectangular piece, which is then cut in half to create two triangular sails. If the area of each of the sails is 240 square feet, what was the perimeter of the original piece of sailcloth?


A) 75 feet

B) 88 feet

C) 96 feet

D) 104 feet

E) 576 feet


area of each triangle=1/2 * x * (x-4)=240..
x=24.. so perimeter = 24*4=96
C

Please follow the fig.
Attachment:
square.png
square.png [ 3.21 KiB | Viewed 720 times ]

area of triangle=1/2*x*(x+4)=240
x=20
so side of square =20+4=24
perimeter 24*4=96
Ans C
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Re: A square piece of sailcloth is trimmed by 4 feet on one edge to form a  [#permalink]

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New post 22 Sep 2018, 09:46
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Re: A square piece of sailcloth is trimmed by 4 feet on one edge to form a &nbs [#permalink] 22 Sep 2018, 09:46
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