what is the area of the trapezoid? square meters

Explanation:

Step1: Recall area formula

The formula for the area of a trapezoid is $A=\frac{(a + b)h}{2}$, where $a$ and $b$ are the lengths of the parallel - sides and $h$ is the height.

Step2: Identify values

Here, $a = 2$m, $b = 6$m, and $h = 4$m.

Step3: Substitute values into formula

$A=\frac{(2 + 6)\times4}{2}$. First, calculate the sum of the parallel - sides: $2+6 = 8$m. Then, multiply by the height: $8\times4=32$ square - meters. Finally, divide by 2: $\frac{32}{2}=16$ square - meters.

Answer:

16