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22 January, 14:39

Sergei buys a rectangular rug for his living room. He measures the diagonal of the rug to be 18 feet. The length of the rug is 3 feet longer than the width. What are the approximate dimensions of the rug? Round each dimension to the nearest tenth of a foot.

10.4 feet by 7.4 feet

11.1 feet by 8.1 feet

13.4 feet by 10.4 feet

14.1 feet by 11.1 feet

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  1. 22 January, 14:50
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    So remember that the pythagorean theorem is a^2+b^2=c^2

    c=18

    legnth is 3 more than width

    l=3+w

    a=3+b

    subsitute

    (3+b) ^2+b^2=18^2

    expand

    9+6b+b^2+b^2=324

    subbtract 9 from both sides

    6b+2b^2=313

    subtract 313 from both sides

    2b^2+6b-313=0

    factor

    use quadratic formula and get

    b=11.1

    subsitute

    a=3+b

    a=3+11.1

    a=14.1

    answer is 14.1 ft by 11.1 ft
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