Given:
62 feet of fencing = perimeter
P = 2 (L + W)
62/2 = 31
16 + 15 = 16 * 15 = 240 ft²
17 + 14 = 17 * 14 = 238 ft²
18 + 13 = 18 * 13 = 234 ft²
19 + 12 = 19 * 12 = 228 ft²
20 + 11 = 20 * 11 = 220 ft²
The best dimensions that will give the greatest area is to have a length of 16 feet and a width of 15 feet.