Answer:
[tex]96\text{ ft}^2[/tex]
Step-by-step explanation:
We have been given a composite figure. We are asked to find the area of the given figure.
The area of the composite figure would be area of rectangle (10 ft by 8 ft) plus area of triangle with base 4 ft and height 8 ft.
[tex]\text{The area of the composite figure}=\text{Area of rectangle}+\text{Area of triangle}[/tex]
[tex]\text{The area of the composite figure}=10\text{ ft}\times 8\text{ ft}+\frac{1}{2}(8\text{ ft}\times 4\text{ ft})[/tex]
[tex]\text{The area of the composite figure}=80\text{ ft}^2+4\text{ ft}\times 4\text{ ft}[/tex]
[tex]\text{The area of the composite figure}=80\text{ ft}^2+16\text{ ft}^2[/tex]
[tex]\text{The area of the composite figure}=96\text{ ft}^2[/tex]
Therefore, the area of the given composite figure is 96 square feet.
