Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

3. find the area of the trapezoid. 2 yd 2 yd 3 yd $a=\\square$ $yd^{2}$…

Question

  1. find the area of the trapezoid.

2 yd
2 yd
3 yd
$a=\square$ $yd^{2}$
grade 6: mrl>chapter 7>chapter test> question #4

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 bases, 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

$$\begin{align*} A&=\frac{1}{2}(2 + 3)\times2\\ &=\frac{1}{2}\times5\times2 \end{align*}$$

Step4: Simplify the expression

$$\begin{align*} A&=5\times1\\ &=5 \end{align*}$$

Answer:

$5$ yd²