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# A square piece of sailcloth is trimmed by 4 feet on one edge

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Director
Joined: 09 Aug 2006
Posts: 599
A square piece of sailcloth is trimmed by 4 feet on one edge  [#permalink]

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30 Oct 2007, 09:11
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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?

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Director
Joined: 11 Jun 2007
Posts: 700
Re: PS: Sailcloth  [#permalink]

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30 Oct 2007, 09:26
GK_Gmat 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?

is it 480 ft?

first double each sail piece to find original sail cloth:
240 * 2 = 480
we know one side of trimmed piece is 4
480/ 4 = 120 one side of square

to find perimeter = 120 * 4 = 480
Manager
Joined: 28 Jun 2007
Posts: 236
Re: PS: Sailcloth  [#permalink]

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30 Oct 2007, 09:35
GK_Gmat 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?

Each side of the original square: x
Sides of rectangle: x, x-4

Area of each triangular piece = 240

1/2* x(x-4) = 240
x(x-4) = 480
x = 24

Perimeter of original square = 24 * 4 = 96
Intern
Joined: 25 Apr 2007
Posts: 37
Re: PS: Sailcloth  [#permalink]

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30 Oct 2007, 09:54
gluon wrote:
GK_Gmat 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?

Each side of the original square: x
Sides of rectangle: x, x-4

Area of each triangular piece = 240

1/2* x(x-4) = 240
x(x-4) = 480
gluon, shouldn't the area for each triangle be 1/2 * x/2 *(x-4) ??

x = 24

Perimeter of original square = 24 * 4 = 96

UPDATE:
nm gluon, 96 is right. what i was doing is cutting the rectange into 1/2 but not along the diagonal as it should be. in other words i was dividing one rect into 2 rect's.....completely misunderstood the problem
Director
Joined: 09 Aug 2006
Posts: 599
Re: PS: Sailcloth  [#permalink]

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30 Oct 2007, 10:31
gluon wrote:
GK_Gmat 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?

Each side of the original square: x
Sides of rectangle: x, x-4

Area of each triangular piece = 240

1/2* x(x-4) = 240
x(x-4) = 480
x = 24

Perimeter of original square = 24 * 4 = 96

Gluon, why can't the sides be of the rectangle be x & 4? If we trim a square with side x by 4 feet on one edge to form a rectangle, 2 rectangles are formed. One w/ sides x and 4 the other one with sides x and x-4.

Isn't that correct?

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This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Intern
Joined: 18 Nov 2013
Posts: 46
A square piece of sailcloth is trimmed by 4 feet on one edge to form  [#permalink]

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20 Sep 2018, 11:26
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?

75 feet
88 feet
96 feet
104 feet
576 feet
Math Expert
Joined: 02 Sep 2009
Posts: 58402
Re: A square piece of sailcloth is trimmed by 4 feet on one edge  [#permalink]

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20 Sep 2018, 20:42
harish1986 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?

75 feet
88 feet
96 feet
104 feet
576 feet

Discussed here: https://gmatclub.com/forum/a-square-pie ... 06324.html
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Re: A square piece of sailcloth is trimmed by 4 feet on one edge   [#permalink] 20 Sep 2018, 20:42
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# A square piece of sailcloth is trimmed by 4 feet on one edge

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