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

Explanation:

Step1: Identify the composite shapes

The figure consists of a left rectangle, a middle triangle, and a right rectangle.

Step2: Calculate the left rectangle area

$$A_{left} = \text{width} \times \text{height} = 6 \times 2 = 12 \text{ sq mi}$$

Step3: Determine the triangle dimensions

The triangle height is $14 \text{ mi}$. The base is the total bottom width $(8 + 9)$ minus the top horizontal segments $(6 + 5)$. $$\text{Base} = (8 + 9) - (6 + 5) = 17 - 11 = 6 \text{ mi}$$

Step4: Calculate the triangle area

$$A_{triangle} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 6 \times 14 = 42 \text{ sq mi}$$

Step5: Calculate the right rectangle area

$$A_{right} = \text{width} \times \text{height} = 5 \times 4 = 20 \text{ sq mi}$$

Step6: Sum the individual areas

$$A_{total} = 12 + 42 + 20 = 74 \text{ sq mi}$$

Answer:

74 square miles