Question

a = $square$ in.$^{2}$
grade 6: mrl>chapter 7>chapter test> question #2

1. find the area of the trapezoid.

2 yd
2 yd
3 yd
a = $square$ yd$^{2}$

Explanation:

Step1: Recall trapezoid area formula

The formula for the area of a trapezoid is $A = \frac{1}{2}(b_1 + b_2)h$, where $b_1$ and $b_2$ are the lengths of the two parallel sides, and $h$ is the height.

Step2: Identify given values

Here, $b_1 = 2$ yd, $b_2 = 3$ yd, $h = 2$ yd.

Step3: Substitute values into formula

$$\begin{align*} A &= \frac{1}{2}(2 + 3) \times 2\\ &= \frac{1}{2} \times 5 \times 2 \end{align*}$$

Step4: Calculate the result

$$\begin{align*} A &= 5 \times 1\\ &= 5 \end{align*}$$

Answer:

$5$ yd²