Question

If you have 36 ft of fencing what are the area of the different rectangles you could enclose with the fencing?consider only whole _number dimensions.

Answer 1

I would like to add to this. The best shape to get the largest area would be a circle

Answer 2

The fence you have must fit the perimeter of the rectangle.

With 36 feet of fence, these are the rectangles that you can enclose:

1-ft x 17-ft . . . Area = 17 ft²

2 x 16 . . . Area = 32 ft²
3 x 15 . . . Area = 45 ft²
4 x 14 . . . Area = 56 ft²
5 x 13 . . . Area = 65 ft²
6 x 12 . . . Area = 72 ft²
7 x 11 . . . Area = 77 ft²
8 x 10 . . . Area = 80 ft²
9 x 9 . . . Area = 81 ft²