The length of the flag is 2 cm less than 7 times the width. The perimeter is 60cm. Find the length a

Discussion in 'Calculator Requests' started by math_celebrity, Aug 26, 2016.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    The length of the flag is 2 cm less than 7 times the width. The perimeter is 60cm. Find the length and width.

    A flag is a rectangle shape. So we have the following equations

    Since P = 2l + 2w, we have 2l + 2w = 60
    l = 7w - 2

    Substitute Equation 1 into Equation 2:
    2(7w -2) + 2w = 60
    14w - 4 + 2w = 60
    16w - 4 = 60

    Add 4 to each side
    16w = 64

    Divide each side by 16 to isolate w
    w = 4
    Which means l = 7(4) - 2 = 28 - 2 = 26
     

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