Answer
Area is: \[\underline{279.5\text{ f}{{\text{t}}^{2}}}\].
Work Step by Step
Length of rectangle is 24 feet and the breadth of the rectangle is 13 feet. The base and height of the triangle is 5 feet and 13 feet. Now, compute the area of the shaded region as mentioned below:
\[\begin{align}
& \text{Area of Shaded Region}=\text{Area of rectangle}-\text{Area of Triangle} \\
& =\left( \text{Length}\times \text{Breadth} \right)-\left( \frac{1}{2}\times \text{Base}\times \text{Height} \right) \\
& =\left( \text{24}\times \text{13} \right)-\left( \frac{1}{2}\times 5\times 13 \right) \\
& =312-32.5
\end{align}\]
Therefore, the area of shaded region\[=279.5\]