Question

The trapezoid has a height of 16 m. Find the area.

Answer 1

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;

`\begin{gathered} A\text{ = }(1)/(2)(a+b)h \\ h\text{ = height = 16 m} \\ (a+b)\text{ = sum of parallel side lengths = 18 m} \\ A\text{ =}(1)/(2)*16*18=144m^2 \end{gathered}`