The length of a rectangle is 8 cm greater than its width. The area of the rectangle is 48 cm². What are the dimensions of the rectangle.

Answer 1

L = 8+w

Lw = 48

8w +w^2 = 48

w^2 + 8w + 16 = 48+16

(w+4)^2 = 64 = 8^2

w = -4 + or - 8 = 4 or -12

L = 8+4 = 12 or -12+8 =-4

width and Length are 4 and 12 cm