Subjects algebra

Garden Dimensions

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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**.