1 foot \( =12 \) inches 1 inch \( =25.4 \mathrm{~mm} \) he information above to answer the questions that follow. Verify, showing ALL calculations, whether the balcony with dimer 26 fee: 10 inches by 4 feet is greater or less than 109 square feet. You may use the formula: Area of a rectangle \( = \) length \( \times \) width

To determine whether the area of the balcony is greater or less than 109 square feet, we first need to convert the dimensions of the balcony from feet and inches to feet only. The dimensions of the balcony are given as: - Length: 26 feet 10 inches - Width: 4 feet ### Step 1: Convert the length from feet and inches to feet only. 1. **Convert inches to feet**: \[ 10 \text{ inches} = \frac{10}{12} \text{ feet} = \frac{5}{6} \text{ feet} \approx 0.8333 \text{ feet} \] 2. **Add this to the length in feet**: \[ \text{Total length} = 26 \text{ feet} + \frac{5}{6} \text{ feet} = 26 + 0.8333 \approx 26.8333 \text{ feet} \] ### Step 2: Calculate the area of the balcony. Using the formula for the area of a rectangle: \[ \text{Area} = \text{length} \times \text{width} \] Substituting the values we have: \[ \text{Area} = 26.8333 \text{ feet} \times 4 \text{ feet} \] Calculating the area: \[ \text{Area} = 107.3332 \text{ square feet} \] ### Step 3: Compare the area to 109 square feet. Now we compare the calculated area to 109 square feet: \[ 107.3332 \text{ square feet} < 109 \text{ square feet} \] ### Conclusion The area of the balcony is approximately 107.33 square feet, which is **less than** 109 square feet.