Question

what is the area of the trapezoid? square feet

Explanation:

Step1: Recall trapezoid area formula

The formula for the area of a trapezoid is $A = \frac{(b_1 + b_2)}{2} \times h$, where $b_1$ and $b_2$ are the lengths of the two parallel sides (bases), and $h$ is the height (the perpendicular distance between the bases).

Step2: Identify the bases and height

From the diagram, the two parallel sides (bases) are $b_1 = 2$ ft and $b_2 = 4$ ft, and the height $h = 3$ ft.

Step3: Substitute values into the formula

Substitute $b_1 = 2$, $b_2 = 4$, and $h = 3$ into the formula:
\[

$$\begin{align*} A&=\frac{(2 + 4)}{2} \times 3\\ &=\frac{6}{2} \times 3\\ &= 3\times3\\ &= 9 \end{align*}$$

\]

Answer:

9 square feet