Question

there is a pair of parallel sides in the following shape.
9
4
5
what is the area of the shape?
____ units²

Explanation:

Step1: Recall trapezoid area formula

The area of a trapezoid is given by $\text{Area} = \frac{1}{2} \times (a + b) \times h$, where $a$ and $b$ are the lengths of the parallel sides, and $h$ is the height between them.

Step2: Identify given values

Here, $a = 9$, $b = 5$, $h = 4$.

Step3: Substitute values into formula

$\text{Area} = \frac{1}{2} \times (9 + 5) \times 4$

Step4: Calculate step-by-step

First compute the sum inside the parentheses: $9 + 5 = 14$
Then multiply by the height: $14 \times 4 = 56$
Finally multiply by $\frac{1}{2}$: $\frac{1}{2} \times 56 = 28$

Answer:

28 units²