Question

what is the area of trapezoid pqrs? 424 in² 368 in² 848 in² 480 in² r 23 in. q 16 in. s 30 in. p

Explanation:

Step1: Recall area formula

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

Step2: Identify values

Here, $b_1 = 23$ in, $b_2=30$ in, and $h = 16$ in.

Step3: Substitute values into formula

$A=\frac{(23 + 30)\times16}{2}=\frac{53\times16}{2}$.

Step4: Calculate

First, $53\times16 = 848$, then $\frac{848}{2}=424$ in².

Answer:

$424$ in²