1. **State the problem:** We need to find the length of a rectangular basketball court given its perimeter and width. 2. **Formula used:** The perimeter $P$ of a rectangle is given by $$P = 2(\text{length} + \text{width})$$ 3. **Given values:** - Perimeter $P = 80$ meters - Width $w = 15$ meters 4. **Set up the equation:** $$80 = 2(\text{length} + 15)$$ 5. **Solve for length:** Divide both sides by 2: $$\cancel{2} \times 40 = \cancel{2}(\text{length} + 15) \Rightarrow 40 = \text{length} + 15$$ 6. **Isolate length:** $$\text{length} = 40 - 15 = 25$$ 7. **Answer:** The length of the basketball court is **25 meters**.