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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?
Wiki User
∙ 14y ago
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
Wiki User
∙ 14y ago
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