1. **State the problem:** We have a rectangular pool where the length is three times the width. The perimeter of the pool is 32 metres. We need to find the length and width. 2. **Define variables:** Let the width be $x$ metres. 3. **Express length in terms of width:** Length $= 3x$ metres. 4. **Write the formula for perimeter of a rectangle:** $$\text{Perimeter} = 2(\text{Length} + \text{Width})$$ 5. **Substitute the known values:** $$32 = 2(3x + x)$$ 6. **Simplify inside the parentheses:** $$32 = 2(4x)$$ 7. **Multiply:** $$32 = 8x$$ 8. **Solve for $x$ by dividing both sides by 8:** $$32 = \cancel{8}x \Rightarrow \frac{32}{\cancel{8}} = x \Rightarrow 4 = x$$ 9. **Find the length:** $$\text{Length} = 3x = 3 \times 4 = 12$$ 10. **Final answer:** Width $= 4$ metres Length $= 12$ metres