Step-by-step explanation:
With only straight lines, the largest rectangle you could make with 40 feet of fencing would be a 10×10 square, which has an area of 100 ft².
If you used flexible fencing, you could make a circle with perimeter of 40 ft. The diameter would be 40/π ft, and the radius would be 20/π ft. So the area would be:
A = π (20/π ft)²
A = 400/π ft²
A ≈ 127 ft²
So yes, you could get a larger area using flexible fencing.
