Question

the area of the trapezoid is square feet.
14 ft 10 ft 3 ft
text alternative

Explanation:

Step1: Recall trapezoid area formula

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

Step2: Identify values of a, b, h

From the diagram, the two parallel sides (bases) are $a = 14$ ft and $b = 3$ ft, and the height $h = 10$ ft.

Step3: Substitute values into formula

Substitute $a = 14$, $b = 3$, and $h = 10$ into the formula:
\[
A = \frac{(14 + 3)}{2} \times 10
\]

Step4: Simplify the expression

First, calculate the sum of the bases: $14 + 3 = 17$.
Then, divide by 2: $\frac{17}{2} = 8.5$.
Finally, multiply by the height: $8.5 \times 10 = 85$.

Answer:

85