1. **State the problem:** Rachel has a rectangular flower garden with a length of 8 feet and a perimeter of 24 feet. We need to find the width of the garden. 2. **Formula for perimeter of a rectangle:** $$P = 2(\text{length} + \text{width})$$ 3. **Substitute the known values:** $$24 = 2(8 + w)$$ 4. **Simplify the equation:** $$24 = 2 \times (8 + w)$$ $$24 = 16 + 2w$$ 5. **Isolate the width term:** $$24 - 16 = 2w$$ $$8 = 2w$$ 6. **Divide both sides by 2 to solve for $w$:** $$\cancel{2}w = \frac{8}{\cancel{2}}$$ $$w = 4$$ 7. **Answer:** The width of the flower garden is **4 feet**.