Garden Dimensions
1. **State the problem:** Paul wants to build a rectangular garden with a fence of 66 meters in total length. The length $L$ of the garden should be twice the width $W$: $$L=2W$$
2. **Express the perimeter formula:** The total length of the fence is the perimeter of the rectangle, given by $$P=2L+2W$$ and we know $$P=66$$ meters.
3. **Substitute length:** Using $$L=2W$$, substitute in perimeter formula:
$$66=2(2W)+2W=4W+2W=6W$$
4. **Solve for width:** Divide both sides by 6:
$$W=\frac{66}{6}=11$$ meters
5. **Find length:** Using $$L=2W=2 \times 11=22$$ meters
6. **Answer:** The dimensions of the garden are width = 11 meters and length = 22 meters, which corresponds to option **c. 11 x 22**.