The length of a rectangle is 6 less than twice the width. If the perimeter is 60 inches, what are th

Discussion in 'Calculator Requests' started by math_celebrity, Jan 21, 2024.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    The length of a rectangle is 6 less than twice the width. If the perimeter is 60 inches, what are the dimensions?

    Set up 2 equations given P = 2l + 2w:
    1. l = 2w - 6
    2. 2l + 2w = 60
    Substitute (1) into (2) for l:
    2(2w - 6) + 2w = 60
    4w - 12 + 2w = 60
    6w - 12 = 60

    To solve for w, type this into our math solver and we get:
    w = 12

    To solve for l, substitute w = 12 into (1)
    l = 2(12) - 6
    l = 24 - 6
    l = 18
     

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