Question

find the area of the figure. 13 cm, 5 cm, 7 cm. options: 50 cm², 28 cm², 33 cm², 45 cm²

Explanation:

Step1: Identify shape formula

The figure is a trapezoid. Area formula: $\text{Area} = \frac{1}{2} \times (a + b) \times h$, where $a,b$ are parallel sides, $h$ is height.

Step2: Substitute given values

$a=13\text{ cm}$, $b=7\text{ cm}$, $h=5\text{ cm}$
$\text{Area} = \frac{1}{2} \times (13 + 7) \times 5$

Step3: Calculate step-by-step

First sum parallel sides: $13+7=20$
Then compute: $\frac{1}{2} \times 20 \times 5 = 10 \times 5 = 50$

Answer:

$50 \text{ cm}^2$