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20 October, 14:25

The length of a rectangle is 3 centimeters less than twice its width. The perimeter of the rectangle is 48 cm. What are the dimensions of the rectangle?

length = 15 cm; width = 9 cm

length = 12 cm; width = 12 cm

length = 11 cm; width = 7 cm

length = 14 cm; width = 10 cm

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Answers (2)
  1. 20 October, 14:39
    0
    The answer is A.) Length = 15, width = 9.

    9x2 = 18, 18 - 3 = 15

    15 x 2 = 30, 9 x 2 = 18

    18 + 30 = 48.
  2. 20 October, 16:33
    0
    L=2W-3 and P=2 (L+W) and using L from the first equation in the second equation you get:

    P=2 (2W-3+W)

    P=2 (3W-3)

    P/2=3W-3

    P/6=W-1

    W = (P/6) + 1, and since we are told that P=48:

    W = (48/6) + 1

    W=9cm, and since L=2W-3

    L=15cm

    So length=15cm and width=9cm
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