Question

#14 calculate the area: trapezoid with top base 9ft, bottom base 5ft, height 4ft #1 40 m² #2 32 in² #3 45 in² #4 20 mm² #5 56 cm² #6 48 in² #7 84 in² #8 22 mm² #9 49 in² #10 12 ft²

Explanation:

Step1: Recall trapezoid area formula

The area of a trapezoid is given by $\text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h$, where $b_1$ and $b_2$ are the lengths of the two parallel sides, and $h$ is the height.

Step2: Identify given values

Here, $b_1 = 9\ \text{ft}$, $b_2 = 5\ \text{ft}$, $h = 4\ \text{ft}$.

Step3: Substitute values into formula

$$\begin{align*} \text{Area} &= \frac{1}{2} \times (9 + 5) \times 4 \\ &= \frac{1}{2} \times 14 \times 4 \end{align*}$$

Step4: Calculate the result

$$\begin{align*} \text{Area} &= 7 \times 4 \\ &= 28 \end{align*}$$

Answer:

$28\ \text{ft}^2$