Question

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.

Answer 1

Answer:               380.25

Step-by-step explanation:

Answer 2

Answer:

The area is 380.25 squared yards.

Step-by-step explanation:

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

$a = \frac{2.5(13) + 2(13)}{2} \times 13 \\ a = \frac{32.5 + 26}{2} \times 13 \\ a = \frac{58.5}{2} \times 13 \\ a = 29.25 \times 13 \\ a = 380.25$

Therefore:

$a = 380.25$