Question

there is a pair of parallel sides in the following shape. what is the area of the shape?

Explanation:

Step1: Identify the shape as a trapezoid

The shape has one pair of parallel sides, so it's a 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 between them.

Step2: Determine the values of $a$, $b$, and $h$

The lengths of the parallel sides are $a = 9$ and $b = 10$, and the height $h=4$.

Step3: Substitute the values into the formula

$A=\frac{(9 + 10)\times4}{2}=\frac{19\times4}{2}$.

Step4: Calculate the area

First, $19\times4 = 76$, then $\frac{76}{2}=38$.

Answer:

38