Answer:
![A_(total) = 132\ ft^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/ayaroh7s5ptnbkewpnoj83v16kx50riw9u.png)
Explanation:
Step 1: Determine the area of the rectangle
![A = l * w](https://img.qammunity.org/2023/formulas/mathematics/high-school/kge4p5f5a0j1scqztwkr9jwi1fbopggw0d.png)
![A = 9\ ft * 11\ ft](https://img.qammunity.org/2023/formulas/mathematics/high-school/vpw8y2rawfrymt4s8ij1h9afeu5dln52ab.png)
![A = 99\ ft^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/slps4lcsbeptrljrwnrcd7hbvxirrsu7ju.png)
Step 2: Determine the area of the triangles
![A = (h * b)/(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/pcja7l8k6nsvulrbtxt8myd3hgah5ml3m2.png)
![A=((15\ ft - 9\ ft)*(11\ ft / 2))/(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/ws3ssrcq14cdqd89sxwfs1opqfgh6afkb3.png)
![A=(6\ ft * 5.5\ ft)/(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/x9ino72wwyy2zrvgkdde5dv2t7xhou8rwv.png)
![A = 16.5\ ft^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/xcgxcz5q9hmcxg3ihawxdvwj7fc2c7appb.png)
Since we found only one of the right triangles we need to multiply the area that we got by 2 to get the total triangle area.
![A = 16.5\ ft^2 * 2](https://img.qammunity.org/2023/formulas/mathematics/high-school/vo00ckun225a5jh41rnm5zsuslv9lmhf0v.png)
![A = 33\ ft^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/wrjvpho61zj6wmcw27lf7by99iko3ypq9m.png)
Step 3: Determine the total area
![A_(total) = 99\ ft^2 + 33\ ft^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/elbrbbf7f604t9nh6afd4x794tajc927d6.png)
![A_(total) = 132\ ft^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/ayaroh7s5ptnbkewpnoj83v16kx50riw9u.png)
Answer:
![A_(total) = 132\ ft^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/ayaroh7s5ptnbkewpnoj83v16kx50riw9u.png)