what is the area of this figure?\nwrite your answer using decimals, if necessary.\nsquare meters

Explanation:

Step1: Identify the component shapes

The figure consists of two rectangles and one triangle.

Step2: Calculate the top-left rectangle area

$$A_{1} = 8\text{ m} \times 8\text{ m} = 64\text{ m}^{2}$$

Step3: Calculate the top-right rectangle area

The height is $8 - 2 = 6\text{ m}$ and width is $3\text{ m}$. $$A_{2} = 3\text{ m} \times 6\text{ m} = 18\text{ m}^{2}$$

Step4: Calculate the bottom triangle area

The base is $5\text{ m}$ and the height is $6\text{ m}$. $$A_{3} = \frac{1}{2} \times 5\text{ m} \times 6\text{ m} = 15\text{ m}^{2}$$

Step5: Sum the areas for total

$$A_{total} = 64 + 18 + 15$$

Answer:

97 square meters