11. The family is debating who gets which bedroom. What is the difference in square footage between bedroom 1 and bedroom 2? 12. The family plans to replace the semicircular window in the den with a flat window. How much square footage lost based on this decision?

Sure, I'd be happy to help with these questions! However, I'll need a bit more information to provide accurate answers. --- **11. Difference in Square Footage Between Bedroom 1 and Bedroom 2** To determine the difference in square footage between Bedroom 1 and Bedroom 2, I'll need the dimensions (length and width) of each bedroom. If you can provide the measurements for both bedrooms, I can calculate the difference for you. *For example:* - **Bedroom 1:** 12 feet by 14 feet - **Bedroom 2:** 10 feet by 12 feet *Calculation:* - **Bedroom 1 Area:** 12 ft × 14 ft = 168 sq ft - **Bedroom 2 Area:** 10 ft × 12 ft = 120 sq ft - **Difference:** 168 sq ft - 120 sq ft = **48 sq ft** --- **12. Square Footage Lost by Replacing a Semicircular Window with a Flat Window** To determine the square footage lost when replacing a semicircular window with a flat window, I'll need the following information: - **Radius of the Semicircular Window:** This will allow us to calculate the area of the semicircle. - **Dimensions of the Flat Window:** Typically, this would be the width and height of the new flat window. *Assuming Example Dimensions:* - **Semicircular Window:** Radius = 3 feet - **Flat Window:** Width = 6 feet (same as the diameter of the semicircle), Height = 3 feet *Calculations:* 1. **Area of the Semicircular Window:** \[ \text{Area} = \frac{1}{2} \times \pi \times r^2 = \frac{1}{2} \times \pi \times 3^2 = \frac{1}{2} \times \pi \times 9 = 4.5\pi \approx 14.14 \text{ sq ft} \] 2. **Area of the Flat Window:** \[ \text{Area} = \text{Width} \times \text{Height} = 6 \text{ ft} \times 3 \text{ ft} = 18 \text{ sq ft} \] 3. **Square Footage Lost:** \[ \text{Square Footage Lost} = \text{Area of Semicircle} - \text{Area of Flat Window} = 14.14 \text{ sq ft} - 18 \text{ sq ft} = -3.86 \text{ sq ft} \] *Interpretation:* In this example, actually, you’d be gaining approximately 3.86 sq ft by replacing the semicircular window with the flat window. *Note:* The actual square footage lost or gained will depend on the specific dimensions of both the semicircular and flat windows. --- **Please provide the necessary measurements**, and I'll be able to give you precise calculations for both questions!