Question

what is the area of the trapezoid? question 6 of 8 255 cm² 315 cm² 630 cm² 510 cm² 13 cm 17 cm 15 cm 17 cm 29 cm

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, $a = 13$ cm, $b = 29$ cm and $h = 15$ cm.

Step3: Substitute values into formula

$A=\frac{(13 + 29)\times15}{2}=\frac{42\times15}{2}$.

Step4: Perform calculations

First, $42\times15 = 630$. Then, $\frac{630}{2}=315$ $cm^{2}$.

Answer:

$315$ $cm^{2}$