Question

1. find the area of the figure.

100 cm
55 cm
60 cm
5,500 cm²
4,650 cm²
4,400 cm²
6,600 cm²

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

$$\begin{align*} \text{Area} &= \frac{1}{2} \times (100 + 60) \times 55 \\ &= \frac{1}{2} \times 160 \times 55 \\ &= 80 \times 55 \end{align*}$$

Step4: Calculate the final value

$80 \times 55 = 4400$

Answer:

4,400 cm²