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# A rectangle has perimeter of 20m Express the area of the rectangle as a function of the length of one of its sides?

Updated: 4/28/2022

Wiki User

14y ago

Best Answer

In a rectangle: P = 2(L + W) and A = LW

P = 2(L + W) (replace P with 20)

20 = 2(L + W) (solve for L; divide by 2 to both sides)

10 = L + W (subtract W to both sides )

10 - W = L

A = LW (substitute 10 - W for L)

A = (10 - W)W

A = 10W - W2

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