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19 September, 09:07

Set up an algebraic equation and then solve the following problem.

The width of a rectangle is 7 feet less than its length. If the area of the rectangle is 170 square feet, then find the length and width.

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  1. 19 September, 10:08
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    Let x be the width and let y be the length. To find the area, the formula is W*L.

    The width is 7 less than the length: x = y-7

    We only want one variable to deal with first, so we could also write:

    y = x+7

    Then we have,

    x * (x+7) = 170

    x²+7x-170 = 0

    (x+17) (x-10) = 0

    So x = - 17, 10

    When x = - 17, y = - 17+7 = - 10

    When x = 10, y = 10+7 = 17

    But we cannot have negatives so the first solution does not work.

    The width is 10 and the length is 17.
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