Question

Use the information to answer the question.

Information
The figure is composed of 2 rectangles and a sector of a circle.





Question
What is the area of the figure, to the nearest tenth of a square foot? Enter the answer in the box.

Response area with 1 text input box
square feet

Answer 1

To calculate the area of the figure composed of 2 rectangles and a sector of a circle, we need to know the dimensions of the rectangles and the radius and angle of the sector. As you have not provided these specific measurements, I cannot compute the exact area for you.

However, I can guide you on how to calculate it once you have those dimensions:

1. **Area of Rectangles**:
- For each rectangle, the area can be calculated using the formula:
\[
\text{Area} = \text{length} \times \text{width}
\]
- Calculate the area for both rectangles and sum them up.

2. **Area of the Sector**:
- The area of a sector can be calculated with the formula:
\[
\text{Area}_{\text{sector}} = \frac{\theta}{360} \times \pi r^2
\]
where \(\theta\) is the angle in degrees and \(r\) is the radius of the circle.

3. **Total Area**:
- Finally, add the total area of the rectangles to the area of the sector to find the total area of the figure:
\[
\text{Total Area} = \text{Area of Rectangles} + \text{Area}_{\text{sector}}
\]

Once you perform these calculations and if the result is in a decimal format, round it to the nearest tenth of a square foot for your answer.

Feel free to provide the specific measurements if you'd like me to assist with a numerical example!