math

A rectangle has a perimeter of 24 and an area of 35 square feet. What is the length and width of the rectangle?

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  1. A = lw

    35 = 5 * 7

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    Ms. Sue
  2. length --- x
    width ---- y

    2x + 2y = 24
    x + y = 12
    y = 12-x

    xy=35
    x(12-x) = 35
    -x^2 + 12x - 35 = 0
    x^2 - 12x + 35 = 0
    (x-7)(x-5)= 0
    x = 7 or x = 5

    if x=7, y=5 or if x=5, then y=7

    the rectangle is 5 by 7

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