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World problem geometry

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World problem geometry

by moonlite » Sat Sep 27, 2008 8:16 am
A rectangular tabletop consists of a piece of laminated wood bordered by a thin metal strip along its four edges. The surface area of the tabletop is x square feet, and the total length of the strip before it was attached was x feet. If the tabletop is 3 feet wide, what is its approximate length, in feet?
(A) 12
(B) 10
(C) 9
(D) 8
(E) 6

E
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by Saffa » Sat Sep 27, 2008 8:47 am
Answer is E?

Say length is l and width is w:

lw = x (surface of the table) and 2l + 2w = x (length of the strip)

but w = 3, thus

3l = x and 2l + 6 = x

because x =x

3l = 2l + 6
thus

l = 6
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