#### Answer

$A = 135$ square yards

#### Work Step by Step

RECALL:
The area $A$ of a trapezoid can be found using the formula $A= \frac{1}{2}h(a+b)$ where a and b are the bases, and h = height.
The given polygon is a trapezoid with a height of 10 yards and bases of 5 yards and 22 yards.
Use the formula above to obtain:
$A = \frac{1}{2}(10)(5+22)
\\A=5(27)
\\A = 135$ square yards