Question

Less than 42 ft. of fencing was used to enclose a rectangular lot that has a length 12 ft. less than 3 times the width. If the width must be a whole number, find its greatest possible value.

Answer 1

P = 2(L + W)
P < = 42
L = 3W - 12

42 < = 2(3W - 12 + W)
42 < = 6W - 24 + 2W
42 < = 8W - 24
42 + 24 < = 8W
66 < = 8W
66/8 < = W
8.25 < = W
The greatest possible whole number is 8...ur width is 8 ft