Respuesta :

Answer

length = width + 15

Area = length * width; area is 54 square feet.

Two equations are:

L = W + 15

L * W = 54

To solve, we substitute first equation into second equation:

(W + 15) * W = 54

w^2 + 15w = 54

w^2 + 15w - 54 = 0

(w+18)(w-3) = 0

w = -18 or 3

The width cannot be negative, so 3 is the width and since length is 15 more than width, length is 18:

Length = 18 feet

Width = 3 feet