what is the area of the trapezoid?

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, $a = 4$m, $b = 12$m, and $h = 5$m.

Step3: Substitute values into formula

$A=\frac{(4 + 12)\times5}{2}$. First, calculate the sum of the parallel - sides: $4+12 = 16$m. Then, multiply by the height: $16\times5=80$m². Finally, divide by 2: $\frac{80}{2}=40$m².

Answer:

$40$ m²