The height of a trapezoid is 13 yards. One of the bases is 2.5 times theheight, and the other base is two times the height. Find the area of the trapezoid.

Question

asked Feb 17, 2021 107k views

2 Answers

Shubham Azad · Answer 1 · 2021-02-21T14:42:52+0000

Answer:

The area is 380.25 squared yards.

Explanation:

Area of a trapezoid is the average of the 2 bases times the height, so:

$a = (2.5(13) + 2(13))/(2) * 13 \\ a = (32.5 + 26)/(2) * 13 \\ a = (58.5)/(2) * 13 \\ a = 29.25 * 13 \\ a = 380.25$

Therefore:

a = 380.25