Question

what is the area? write your answer as a fraction or as a whole or mixed number. 3 mi 4 mi 5 1/3 mi square miles

Explanation:

Step1: Recall trapezoid area formula

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

Step2: Identify values of $b_1$, $b_2$ and $h$

Here, $b_1 = 3$ mi, $b_2=5\frac{1}{3}=\frac{16}{3}$ mi, and $h = 4$ mi.

Step3: Substitute values into formula

$A=\frac{(3+\frac{16}{3})\times4}{2}$. First, find the sum of the parallel - sides: $3+\frac{16}{3}=\frac{9 + 16}{3}=\frac{25}{3}$. Then, $A=\frac{\frac{25}{3}\times4}{2}=\frac{\frac{100}{3}}{2}$.

Step4: Simplify the expression

$\frac{\frac{100}{3}}{2}=\frac{100}{3}\times\frac{1}{2}=\frac{50}{3}=16\frac{2}{3}$ square miles.

Answer:

$16\frac{2}{3}$