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25 June, 13:50

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

+5
Answers (2)
  1. 25 June, 14:05
    0
    22,15

    Step-by-step explanation:

    width = l-7

    l * (l-7) = 330
  2. 25 June, 14:08
    0
    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
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