The area of a rectangle is 144 square units. Find the length and width of the rectangle.

Question

The area of a rectangle is 144 square units. Find the length and width of the rectangle.

Rectangle picture is shown.

Right side = x-3

Bottom side = x+7

Answer 1

(x-3)(x+7) = 144 = area

x^2+4x -21= 144

x^2+4x+ 4= 144+21 +4

(x+2)^2= 169 = 13^2

x= -2+13= 11

x-3 = 8 = width

x+7 = 18 = length

rectangle is 8 by 18