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28 April, 20:41

Two square sheets of cardboard used for making book covers differ in area by 81 square inches. An edge of the large square is 3 inches greater than an edge of the smaller square. Find the length of an edge of the smaller square.

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  1. 28 April, 22:59
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    Let x be the smaller sheet.

    Smaller sheet = x

    Larger sheet = x + 3

    Area of the smaller sheet = x²

    Area of the larger sheet = (x + 3) ²

    The difference is 81 in²

    (x + 3) ² - x² = 81

    x² + 6x + 9 - x² = 81

    6x + 9 = 81

    6x = 72

    x = 12 inches

    Answer: The edge of the smaller square is 12 inches.
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