Question

in this section, youll solve problems involving surface area, perimeter, and volume. youre 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 formula for the area of a trapezoid is $A=\frac{(b_1 + b_2)h}{2}$, where $b_1$ and $b_2$ are the lengths of the parallel - sides and $h$ is the height.

Step2: Identify values of $b_1$, $b_2$ and $h$

From the figure, $b_1 = 3$ ft, $b_2=9$ ft, and $h = 4$ ft.

Step3: Substitute values into formula

$A=\frac{(3 + 9)\times4}{2}$.
First, calculate the sum inside the parentheses: $3+9 = 12$. Then, multiply by the height: $12\times4=48$. Finally, divide by 2: $\frac{48}{2}=24$ square feet.

Answer:

$24$ square feet