The height of a trapezoid is 8 in. And its area is 64 in2. One base of the trapezoid is 6 inches longer than the other base. What are the le

Question

The height of a trapezoid is 8 in. And its area is 64 in2. One base of the trapezoid is 6 inches longer than the other base. What are the lengths of the bases?

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Melanie 3 months 2022-02-15T12:06:40+00:00 1 Answer 0 views 0

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  1. Melanie
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    2022-02-15T12:08:27+00:00
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    Answer:

    5 and 11

    Step-by-step explanation:

    The area of a trapezoid is

    A = 1/2 (b1+b2)*h

    We know the height  is 8 and the area is 64.  

    Let one of the bases is b and the other is b+6

    64 = 1/2 (b+ b+6) *8

    Combine like terms

    64 = 4 (2b+6)

    Divide each side by 4

    64/4 = 4/4 *(2b+6)

    16 = 2b+6

    Subtract 6 from each side

    16-6 = 2b+6-6

    10 =2b

    Divide each side by2

    10/2 =2b/2

    5=b

    The second base is

    5+6 =11

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