Question

in this section, you’ll solve problems involving surface area, perimeter, and volume. you’re now going to experiment with streaming content from home. you plan to cover a panel with an attractive fabric for use as a backdrop, and you need to determine how much fabric to buy. whats the area of this shape?

Explanation:

Step1: Recall trapezoid area formula

The area of a trapezoid is given by $\text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h$, where $b_1$ and $b_2$ are the lengths of the two parallel sides, and $h$ is the height between them.

Step2: Identify given values

Here, $b_1 = 3$ ft, $b_2 = 9$ ft, and $h = 4$ ft.

Step3: Substitute values into formula

$\text{Area} = \frac{1}{2} \times (3 + 9) \times 4$

Step4: Calculate step-by-step

First compute the sum inside the parentheses: $3 + 9 = 12$
Then multiply by the height: $12 \times 4 = 48$
Finally multiply by $\frac{1}{2}$: $\frac{1}{2} \times 48 = 24$

Answer:

24 square feet