Question

answer the following questions:

1. find the area of the figure.

100 cm
60 cm
60 cm
5,500 $cm^{2}$
6,600 $cm^{2}$
4,400 $cm^{2}$
4,600 $cm^{2}$

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.

Step2: Identify given values

Here, $a = 100\ \text{cm}$, $b = 60\ \text{cm}$, $h = 55\ \text{cm}$.

Step3: Substitute values into formula

$\text{Area} = \frac{1}{2} \times (100 + 60) \times 55$
First calculate the sum of the parallel sides: $100 + 60 = 160\ \text{cm}$
Then compute $\frac{1}{2} \times 160 = 80\ \text{cm}$
Finally multiply by the height: $80 \times 55 = 4400\ \text{cm}^2$

Answer:

4,400 cm²