Question

what is the area of the trapezoid?
16 cm
6 cm
32 cm
133 cm²
98 cm²
145 cm²
144 cm²

Explanation:

Step1: Recall trapezoid area formula

The formula for the area of a trapezoid is $\text{Area} = \frac{1}{2} \times (a + b) \times h$, where $a$ and $b$ are the lengths of the two parallel sides, and $h$ is the height.

Step2: Substitute given values

Here, $a = 16\ \text{cm}$, $b = 32\ \text{cm}$, $h = 6\ \text{cm}$. Substitute into the formula:
$\text{Area} = \frac{1}{2} \times (16 + 32) \times 6$

Step3: Calculate the sum inside parentheses

$16 + 32 = 48$
$\text{Area} = \frac{1}{2} \times 48 \times 6$

Step4: Compute the final area

$\frac{1}{2} \times 48 = 24$, then $24 \times 6 = 144$
$\text{Area} = 144\ \text{cm}^2$

Answer:

144 cm²