The area of a rectangle is 108cm sq. The ratio of width to length is 3:4. What is the width and length?

Answer 1

Width is 9 cm

Length is 12 cm

A = L x W = 108 cm²

W/L = 3/4

W = 3/4*L

So

A = L * 3/4L

108 = 3/4L²

Divide both sides by 3/4: multiply both sides by the inverse of 3/4 or 4/3.

(4/3)*108 = L²

144 = L²

√144 = L

12 = L

W = 3/4*12

W = 9

Checking

A = 108 = 9 x 12 = 108

W/L = 3/4 = 9/12 = 3/4

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