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28 March, 11:21

The height of a trapezoid is 8 in. and it's area is 96 in^2. One base of the trapezoid is 6 inches longer than the other base. What are the lengths of the bases? Explain how you found your answer.

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  1. 28 March, 13:46
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    A = (B+b) * h/2=96

    (B+b) * 8/2=96

    ⇒B+b=96*2/8=96/4=24

    B=b+6

    ⇒ (b+6) + b=24

    2b+6=24

    2b=24-6

    2b=18

    b=18:2

    b=9 in.

    B=9+6

    B=15 in.
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