Question: The drawing shows a concrete walkway around a pool. What is the total area of the concrete?\n\n2.5 ft\n2.5 ft\n25 ft\n20 ft\n20 ft\n25 ft\n8 ft\n13 ft\n\nA) 65 ft²\nB) 50 ft²\nC) 165 ft²
1. **State the problem:** We need to find the total area of the concrete walkway surrounding the pool.\n\n2. **Understand the shapes involved:** The walkway forms a U-shaped region around a rectangular pool. The outer rectangle has dimensions $13\text{ ft}$ by $25\text{ ft}$, and the inner rectangle (the pool) has dimensions $8\text{ ft}$ by $20\text{ ft}$. The walkway width is $2.5\text{ ft}$.\n\n3. **Formula used:** The area of the concrete walkway is the area of the outer rectangle minus the area of the inner rectangle (pool).\n\n$$\text{Area}_{\text{walkway}} = \text{Area}_{\text{outer}} - \text{Area}_{\text{inner}}$$\n\n4. **Calculate the area of the outer rectangle:**\n$$\text{Area}_{\text{outer}} = 13 \times 25 = 325\text{ ft}^2$$\n\n5. **Calculate the area of the inner rectangle (pool):**\n$$\text{Area}_{\text{inner}} = 8 \times 20 = 160\text{ ft}^2$$\n\n6. **Calculate the area of the concrete walkway:**\n$$\text{Area}_{\text{walkway}} = 325 - 160 = 165\text{ ft}^2$$\n\n7. **Conclusion:** The total area of the concrete walkway is $165\text{ ft}^2$.\n\n**Answer: C) 165 ft²**