The area of a rectangle is 70 m ^2 , and the length of the rectangle is 11m less than three times the width. find the dimensions of the rectangle. length: __ m width: __ m

A = L * W

Given: The area of a rectangle is 70 m^2

L * W = 70

L = 3W - 11

Substitute L = 3W - 11 into L * W = 70

(3W - 11) * W = 70

3W^2 - 11W = 70

3W - 11W - 70 = 0

(3W + 10) (W - 7)= 0

3W + 10 = 0; W = -10/3 (Dimension can't be negative)

W - 7 = 0; W = 7

L = 3W - 11 = 3(7) - 11 = 21 - 11 = 10

Answer

Length: 10 m

Width: 7 m

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