One side of a rectangle is 4 inches longer than the other side. The area of the rectangle is 21 square inches. Find the lengths of each side.

l = 7 in; w = 3 in

Step-by-step explanation:

The formula for the area of a rectangle is

A = lw

dа ta:

A = 21 in²

l = w + 4

Calculation:

21 = (w + 4) * w

21 = w² + 4w

w² + 4w - 21 = 0

(w + 7) (w - 3) = 0

w + 7 = 0 w - 3 = 0

w = - 7 w = 3

We reject the negative value, so w = 3 in.

21 = l * 3

l = 7

The rectangle is 7 in long and 3 in wide.