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
Plz. explain
rectangular tabletop
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The strip surrounds the tabletop.
Hence the total length of the strip = perimeter of the tabletop = x
area of the table top = x
Just equate the perimeter and area formula.
width = 3
2L + 6 = 3L
L = 6
Answer is E.
Hence the total length of the strip = perimeter of the tabletop = x
area of the table top = x
Just equate the perimeter and area formula.
width = 3
2L + 6 = 3L
L = 6
Answer is E.