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31 August, 22:43

The length of a rectangle is 5cm greater than its width. The perimeter is 58. What are the dimensions of the rectangle

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Answers (2)
  1. 1 September, 00:01
    0
    Write two equations:

    l + w = 58

    l + 5 = w

    substitute and solve

    l + l + 5 = 58

    2l = 53

    l=26.5

    w=31.5

    26.5cm x 31.5cm
  2. 1 September, 01:36
    0
    Perimeter = 2w+2l

    l=w+5

    Substitute for l

    p = 2w+2 (w+5)

    p = 2w+2w+10

    p = 4w+10

    58=4w+10

    48=4w

    12 = w

    Plug in the width to find length.

    l = 12+5

    l=17

    Final answer: Length-17 cm, Width-12 cm
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