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30 January, 21:21

the length of a rectangle is 3 yd longer than its width. if the perimeter of the rectangle is 34 yd, what is it's area.

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  1. 30 January, 21:40
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    The answer is: 54 square yards
  2. 30 January, 21:50
    0
    Step-by-step explanation:

    Let w = the width.

    So then the length is w + 3.

    The formula for the perimeter of a rectangle is 2 (L+W), or in this case, 2 (w + 3 + w) = 2 (2w + 3) = 4w + 6.

    We know that's equal to 30, so let's solve for w:

    4w + 6 = 30

    4w = 24

    w = 6

    Since the length is 3 more than the width, the length must be 9.

    Therefore the area is 6 * 9 = 54 square yards.
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