Miriam has 62 feet of fencing to make a rectangular vegetable garden. Which dimensions will give Miriam the garden with greatest area.

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.