Question

find the area of this trapezoid. be sure to include the correct unit in your answer. 4 ft 10 ft 8 ft 10 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 the bases and height

From the diagram, the two parallel sides (bases) are $b_1 = 4\ \text{ft}$ and $b_2 = 10\ \text{ft}$. The height $h$ (perpendicular to the bases) is $8\ \text{ft}$.

Step3: Substitute values into the formula

Substitute $b_1 = 4$, $b_2 = 10$, and $h = 8$ into the formula:

$$\begin{align*} A&=\frac{1}{2}(4 + 10)\times8\\ &=\frac{1}{2}(14)\times8\\ &= 7\times8\\ &= 56 \end{align*}$$

The unit for area is square feet, so the area is $56\ \text{ft}^2$.

Answer:

$56$ square feet (or $56\ \text{ft}^2$)