To find the area of the figure by separating it into a rectangle and a triangle, we can use the following area formulas.
Step 1: Calculate the area of the rectangle
The area \( A \) of a rectangle is given by the formula:
\[ A = \text{Base} \times \text{Height} \]
For the rectangle:
- Base (B) = 11 in
- Height (H) = 6 in
So, the area of the rectangle is:
\[ A_{rectangle} = 11 , \text{in} \times 6 , \text{in} = 66 , \text{in}^2 \]
Step 2: Calculate the area of the triangle
The area \( A \) of a triangle is given by the formula:
\[ A = \frac{1}{2} \times \text{Base} \times \text{Height} \]
For the triangle:
- Base (B) = 6 in (assuming this is the base of the triangle you mentioned)
- Height (H) = 6 in
So, the area of the triangle is:
\[ A_{triangle} = \frac{1}{2} \times 6 , \text{in} \times 6 , \text{in} = \frac{1}{2} \times 36 , \text{in}^2 = 18 , \text{in}^2 \]
Step 3: Combine the areas
Now, add the areas of the rectangle and the triangle:
\[ \text{Total Area} = A_{rectangle} + A_{triangle} = 66 , \text{in}^2 + 18 , \text{in}^2 = 84 , \text{in}^2 \]
So, the total area of the figure is:
\[ \boxed{84} , \text{in}^2 \]