Question

what is the area of the trapezoid? question 5 of 7

Explanation:

Step1: Recall area formula for trapezoid

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

Step2: Identify values of $a$, $b$, and $h$

Here, $a = 23$ cm, $b = 18$ cm, and $h = 14$ cm.

Step3: Substitute values into formula

$A=\frac{(23 + 18)\times14}{2}=\frac{41\times14}{2}$.

Step4: Perform calculations

First, $41\times14 = 574$. Then, $\frac{574}{2}=287$ $cm^{2}$.

Answer:

$287$ $cm^{2}$