Question

what is the area?
5.9 yd
16 yd
16.6 yd
square yards

Explanation:

Step1: Recall trapezoid area formula

The area \( A \) of a trapezoid is given by \( A=\frac{(a + b)}{2}\times h \), where \( a \) and \( b \) are the lengths of the two parallel sides (bases), and \( h \) is the height (the perpendicular distance between the bases).
Here, \( a = 5.9\) yd, \( b = 16.6\) yd, and \( h = 16\) yd.

Step2: Substitute values into the formula

First, calculate the sum of the bases: \( a + b=5.9 + 16.6 = 22.5\) yd.
Then, multiply by the height and divide by 2: \( A=\frac{22.5\times16}{2}\).
Calculate \( 22.5\times16 = 360\), then divide by 2: \( \frac{360}{2}=180\).

Answer:

180