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

Guest Jul 6, 2021

#1**0 **

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.

Awesomeguy Jul 6, 2021