Question

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

Explanation:

Step1: Recall area formula for trapezoid

The formula for the area 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 of $b_1$, $b_2$ and $h$

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

Step3: Substitute values into formula

$A=\frac{(23 + 30)\times16}{2}=\frac{53\times16}{2}$.
First, calculate $53\times16=848$. Then, $\frac{848}{2}=424$ in².

Answer:

$424$ in²