A rectangle has an area of 135 cm2 and a perimeter of 48 cm. what are its dimensions

P = 2 (L + W)

P = 48

48 = 2 (L + W)

48/2 = L + W

24 = L + W

24 - L = W

A = L * W

A = 135

135 = L (24 - L)

135 = 24L - L^2

L^2 - 24L + 135 = 0

(L - 9) (L - 15) = 0

L - 9 = 0 24 - L = W

L = 9 24 - 9 = W

15 = W

L - 15 = 0 24 - L = W

L = 15 24 - 15 = W

9 = W

the dimensions : either the length is 9 cm and the width is 15 cm ... or the length is 15 cm and the width is 9 cm.