Question

1. find the area of the trapezoid.

(image of a trapezoid with top base 6 ft, bottom base 9 ft, height 4 ft)

Explanation:

Step1: Recall trapezoid area formula

The formula for the area of a trapezoid is $A = \frac{1}{2}(b_1 + b_2)h$, 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 values

Here, $b_1 = 6\ \text{ft}$, $b_2 = 9\ \text{ft}$, and $h = 4\ \text{ft}$.

Step3: Substitute into formula

Substitute the values into the formula: $A = \frac{1}{2}(6 + 9)\times4$.
First, calculate the sum of the bases: $6 + 9 = 15$.
Then, multiply by $\frac{1}{2}$ and the height: $\frac{1}{2}\times15\times4 = 15\times2 = 30$.

Answer:

The area of the trapezoid is $30$ square feet.