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The area of the trapezoid ABCD is equal to 60. The length of one of of the bases is 9 units greater than the other base, and the height of trapezoid ABCD is equal to 8. What is the legth of the median of trapezoid ABCD

 Jul 6, 2021
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To find the bases, we can plug in our known values with x being the smaller base,

\(\frac{2x+9}{2}\cdot 8 = 60\)

\(\frac{2x+9}{2}=7.5\)

\(2x+9 = 15\)

\(x = 3\)

The smaller base is 3, and the larger is 12. The median of a trapezoid is just the average of the bases. So (3+12)/2 = 7.5 which is our answer.

 Jul 6, 2021

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