The width of a rectangular rug is one-sixth of the length. If the perimeter is 56, what is the rug’s width?

Question

The width of a rectangular rug is one-sixth of the length.
If the perimeter is 56, what is the rug’s width?

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Maris 4 years 2021-08-22T09:38:11+00:00 1 Answers 11 views 0

Answers ( )

  1. MichaelMet
    0
    2021-08-22T09:39:21+00:00
    Reply

    Answer:

    width = 4

    Step-by-step explanation:

    Let the length = x.

    The width is x/6.

    perimeter = x + x + x/6 + x/6

    perimeter = 56

    x + x + x/6 + x/6 = 56

    2x + x/3 = 56

    6x/3 + x/3 = 56

    7x/3 = 56

    Divide both sides by 7.

    x/3 = 8

    x = 24

    The length is 24.

    width = x/6 = 24/6 = 4

    Check: 24 + 24 + 4 + 4 = 48 + 8 = 56

    The perimeter does equal 56.

    Answer: width = 4

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