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# A tailor trim 4 feet from opposite edges of square piece of

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Joined: 06 Sep 2003
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A tailor trim 4 feet from opposite edges of square piece of [#permalink]

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13 Sep 2003, 06:42
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A tailor trim 4 feet from opposite edges of square piece of cloth, and 5 feet from the other two edges. If 120 square feet of cloth remain, what was the length of a side of the original piece of cloth?

a. 12
b. 20
c. 24
d. 26
e. 40

Thanks!!

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Intern
Joined: 03 May 2003
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13 Sep 2003, 13:48
x = length of original side
x-8 = length of side which had 4 trimmed from each edge
x-10 = length side which had 5 trimmed from each edge

area left = 120
so
(x-8)(x-10) = 120
x^2-18x+80 = 120
x^2-18x-40 = 0
(x-20)(x+2)
hence x = 20 and x = -2
can't have a negative side
so
x=20

(20-8)(20-10)
(12)(10) = 120

I believe this is correct, but couldn't find it in the OG

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Intern
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Posts: 19

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13 Sep 2003, 18:52
You are right.

Thanks!!

Mystery

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13 Sep 2003, 18:52
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