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12 October, 22:34

The perimeter of a rectangle is twice the

sum of its length and its width. The

perimeter is 40 meters and its length is 2

meters more than twice its width. What is it's length?

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Answers (1)
  1. 12 October, 22:49
    0
    The length is 14 m.

    Step-by-step explanation:

    length = L

    width = W

    perimeter = P

    "The perimeter of a rectangle is twice the sum of its length and its width."

    P = 2 (L + W)

    "The perimeter is 40 meters"

    40 = 2 (L + W)

    "and its length is 2 meters more than twice its width."

    L = 2W + 2

    Replace L with 2W + 2 in equation 40 = 2 (L + W):

    40 = 2 (2W + 2 + W)

    40 = 2 (3W + 2)

    20 = 3W + 2

    3W = 18

    W = 6

    The width is 6 meters.

    L = 2W + 2 = 2 (6 m) + 2 m = 12 m + 2 m = 14 m

    Answer: The length is 14 m.
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