Question

what is the area of the trapezoid? 16 square units 24 square units 32 square units 36 square units

Explanation:

Step1: Recall trapezoid area formula

The area of a trapezoid is given by $A = \frac{1}{2}(b_1 + b_2)h$, where $b_1, b_2$ are the lengths of the two parallel sides, and $h$ is the height.

Step2: Substitute given values

Here, $b_1 = 4$, $b_2 = 8$, $h = 4$. Substitute into the formula:
$A = \frac{1}{2}(4 + 8) \times 4$

Step3: Calculate step-by-step

First compute the sum inside the parentheses: $4 + 8 = 12$
Then calculate $\frac{1}{2} \times 12 = 6$
Finally multiply by the height: $6 \times 4 = 24$

Answer:

24 square units