If the width of a rectangle is 2cm more than three times its length and the perimeter is 60cm,what are the dimensions

Question

If the width of a rectangle is 2cm more than three times its length and the perimeter is 60cm,what are the dimensions

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Bella 3 weeks 2021-11-17T14:49:42+00:00 1 Answer 0 views 0

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    2021-11-17T14:51:24+00:00

    Answer:

    width = 23cm

    length = 7cm

    Step-by-step explanation:

    To solve this we have to make 2 equations that represents the problem

    w = width

    l = length

    p = perimeter = 60cm

    p = 2w + 2l

    60 = 2w + 2l

    w = 2 + 3l

    we replace w with (2 + 3l) in the first equation

    60 = 2w + 2l

    60 = 2 (2 + 3l) + 2l

    60 = 4 + 6l + 2l

    60-4 = 6l + 2l

    56 = 8l

    56/8 = l

    7cm = l

    now we replace the value of l in the second equation

    w = 2 + 3l

    w = 2 + 3 (7)

    w = 2 + 21

    w = 23cm

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