A rectangular solar panel has a length that is 13 inches shorter than 4 times its width. if the perimeter of the panel is 174 ​inches, what

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A rectangular solar panel has a length that is 13 inches shorter than 4 times its width. if the perimeter of the panel is 174 ​inches, what are the dimensions of the​ panel?

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    2021-10-13T21:19:03+00:00

    w= width
    l= 4w-13

    Perimeter= 2l+2w
    Substitute (4w-13) for l

    174=2(4w-13)+2w
    174=8w-26+2w
    174=10w-26
    Add 26 to both sides
    200=10w
    Divide both sides by 10
    20 inches= w

    Substitute the answer to find length.
    l=4w-13
    l=4(20)-13
    l=80-13
    l=67 inches

    Check:
    174= 2(67)+2(20)
    174=134+40
    174=174

    Hope this helps! 🙂

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