what is the area of the shaded region? write your answer as a whole number or a decimal rounded to the…

Explanation:

Step1: Recall triangle - area formula

The area formula for a triangle is $A=\frac{1}{2}bh$, where $b$ is the base and $h$ is the height.

Step2: Calculate area of large triangle

For the large triangle with base $b = 77.4$ ft and height $h = 70.8$ ft, $A_{1}=\frac{1}{2}\times77.4\times70.8=\frac{77.4\times70.8}{2}= \frac{5489.92}{2}=2744.96$ square - feet.

Step3: Calculate area of small triangle

For the small triangle with base $b = 49.4$ ft and height $h = 45.2$ ft, $A_{2}=\frac{1}{2}\times49.4\times45.2=\frac{49.4\times45.2}{2}=\frac{2232.88}{2}=1116.44$ square - feet.

Step4: Calculate area of shaded region

The area of the shaded region $A = A_{1}-A_{2}$. So, $A=2744.96 - 1116.44=1628.52$ square - feet.

Answer:

$1628.52$