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help plz

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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