4. Multiple Choice 1 point 4. Greg is making a rectangular garden. He has purchased 84 feet of fencing. What length \( (\mathrm{L}) \) and width \( (\mathrm{W}) \) will maximize the area of a garden with a perimeter of 84 feet? \( \mathrm{L}=64 \mathrm{ft}, \mathrm{W}=20 \mathrm{ft} \). \( \mathrm{L}=32 \mathrm{ft}, \mathrm{W}=10 \mathrm{ft} \). \( \mathrm{L}=42 \mathrm{ft}, \mathrm{W}=42 \mathrm{ft} \). \( \mathrm{L}=21 \mathrm{ft}, \mathrm{W}=21 \mathrm{ft} \).

To maximize the area of a rectangular garden given a fixed perimeter, the garden should actually be shaped like a square! With a perimeter of 84 feet, each side of the square garden would measure 21 feet. So, the optimal dimensions would be L = 21 ft and W = 21 ft, providing the largest area possible. It's interesting to note that this principle applies to many real-world situations, such as architecture and landscaping, where maximizing space effectively is crucial. So next time you're planning a project, remember: square is sometimes the way to go!