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
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Rectangle problem
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Answer is 6.
Let a and b be the 2 sides of the table.
Given,
1) a*b=x (Area)
2) 2(a+b)=x (The length of the metal required will be the perimeter of the table)
3) b=3
So, from 1) 3a=x
And from 2) 2a+6=x
which is, 2a+6=3a
So a=6.
Let a and b be the 2 sides of the table.
Given,
1) a*b=x (Area)
2) 2(a+b)=x (The length of the metal required will be the perimeter of the table)
3) b=3
So, from 1) 3a=x
And from 2) 2a+6=x
which is, 2a+6=3a
So a=6.
