A tailor trim 4 feet from opposite edges of square piece of : PS Archive
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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, 05:42
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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

How to get the answer?

Thanks!!
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13 Sep 2003, 12:48
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
Intern
Joined: 06 Sep 2003
Posts: 19
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13 Sep 2003, 17:52
You are right.
The answer is B.

Thanks!!

Mystery
13 Sep 2003, 17:52
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# A tailor trim 4 feet from opposite edges of square piece of

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