A rectangle has a width that is 7 centimeters less than its length, and its area is 330 square centimeters. What are

the dimensions of the rectangle?

length =

centimeters

width =

centimeters

w = 15 cm

l = 22 cm

Step-by-step explanation:

A = w·l

w = l - 7

A = (l - 7) ·l

330 = l² - 7l

l² - 7l - 330 = 0

l² + 15l - 2l - 330 = 0

l (l + 15) - 22 (l + 15) = 0

(l - 22) (l + 15) = 0

l - 22 = 0 = > l = 22 cm

l + 15 = 0 = > l = - 15 < 0 (f)

w = l - 7 = 22 - 7 = > w = 15 cm

22,15

Step-by-step explanation:

width = l-7

l * (l-7) = 330