The length and width of a rectangle are consecutive even integers. the area of the rectangle is 80 square units. what are the length and width of the rectangle?

X (x + 2) = 120sq units

Set it equal to 0

x^2 + 2x - 120 = 0

factor

(x + 12) (x - 10)

For the shorter side:

x - 10 = 0

x = 10

Now that you have x, solve for the longer side which we said was represented by

x + 2

10 + 2 = 12

Proof

A = L x W

120 = 10 x 12

120 = 120

true

Our length is 12 and our width is 10