Answer:
115.5 square inches.
Step-by-step explanation:
We have been given a composite figure. We are asked to find the area of our given composite figure.
We can see that our given figure consists a rectangle and a triangle.
[tex]\text{Area of composite figure}=\text{Area of rectangle}+\text{Area of triangle}[/tex]
[tex]\text{Area of rectangle}=\text{Length}\times \text{ width}[/tex]
[tex]\text{Area of rectangle}=(20-7)\text{ in}\times 7\text{ in}[/tex]
[tex]\text{Area of rectangle}=13\text{ in}\times 7\text{ in}[/tex]
[tex]\text{Area of rectangle}=91\text{ in}^2[/tex]
[tex]\text{Area of triangle}=\frac{1}{2}(\text{Base length}\times\text{Height}[/tex]
[tex]\text{Area of triangle}=\frac{1}{2}(7\text{ in}\times7\text{ in}[/tex]
[tex]\text{Area of triangle}=\frac{1}{2}(49\text{ in}^2)[/tex]
[tex]\text{Area of triangle}=24.5\text{ in}^2[/tex]
[tex]\text{Area of composite figure}=91\text{ in}^2+24.5\text{ in}^2[/tex]
[tex]\text{Area of composite figure}=115.5\text{ in}^2[/tex]
Therefore, the area of our given composite figure is 115.5 square inches.
