The area of the trapezoid is 144 squared meters
Here, we want to find the area of the trapezoid
To find the area of the trapezoid, we need the measure of the top and bottom parallel side lengths
From the trapezoid midsegment theorem , the sum of the parallel sides is twice the length of the mid-segment
Since the midsegment is 9 m, then the sum of the considered parallel sides would be 2 * 9 = 18 m
Finally, we apply the formula for the area of the trapezoid as follows;
[tex]\begin{gathered} A\text{ = }\frac{1}{2}(a+b)h \\ h\text{ = height = 16 m} \\ (a+b)\text{ = sum of parallel side lengths = 18 m} \\ A\text{ =}\frac{1}{2}\times16\times18=144m^2 \end{gathered}[/tex]
