Question

calculate the area:
10cm
3cm
12cm

Explanation:

Step1: Recall trapezoid area formula

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

Step2: Identify given values

Here, $a = 10\ \text{cm}$, $b = 12\ \text{cm}$, $h = 3\ \text{cm}$.

Step3: Substitute values into formula

$\text{Area} = \frac{1}{2} \times (10 + 12) \times 3$

Step4: Calculate step-by-step

First compute the sum inside the parentheses: $10 + 12 = 22$.
Then multiply by the height: $22 \times 3 = 66$.
Finally multiply by $\frac{1}{2}$: $\frac{1}{2} \times 66 = 33$.

Answer:

$33\ \text{cm}^2$