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# A tailor trims 4 feet from opposite edges from a square

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Manager
Joined: 16 Jul 2003
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A tailor trims 4 feet from opposite edges from a square [#permalink]  08 Sep 2004, 06:39
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A tailor trims 4 feet from opposite edges from a square piece of cloth and 5 feet from the other set of opposite edges. If 120 feet of cloth remains, what was the length of a side of the original piece of cloth?

A - 12
B - 20
C - 24
D - 26
E - 40

I dont understand "from opposite edges" how exactly is it cut??
Manager
Joined: 02 Apr 2004
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Location: Utrecht
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Let x and y be sides of the square.

(x - 8 ) * (y - 10) = 120
xy - 10x - 8y + 80 = 120
xy - 10x - 8y = 40
x and y are both 20.

Please correct me if I am wrong.

Regards,

Alex
Intern
Joined: 10 Aug 2004
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I know it isn't popular around these parts but I plugged in 20. Area equals 400. Therefore if you cut off 4 feet from each side you lose 8 total feet and therefore one side ia 12. On the other side you lose a total of 10 feet and therefore the other side is ten. L*W equals 120.
Intern
Joined: 27 Jul 2004
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I think 120 feet refers to the length instead of the surface. Am I right?

Well, if 120 is the surface, you can simply draw a picture and get the equation (x-8)(x-10)=120
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