Question

what is the area of the trapezoid? 11 cm 15 cm 17 cm 19 cm square centimeters

Explanation:

Step1: Recall area formula

The area formula 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

Here, $a = 11$ cm, $b = 19$ cm, and $h=15$ cm.

Step3: Substitute values into formula

$A=\frac{(11 + 19)\times15}{2}$.
First, calculate the sum of the parallel - sides: $11+19 = 30$ cm.
Then, multiply by the height: $30\times15=450$ $cm^{2}$.
Finally, divide by 2: $A=\frac{450}{2}=225$ $cm^{2}$.

Answer:

225