A rectangle has a perimeter of 36 feet. Which dimensions could the rectangle have?

Question

A rectangle has a perimeter of 36 feet. Which dimensions could the rectangle have?

Answer 1

perimeter = 36 feet = 2(L+W) where L=length, W= width

18 = L+W

if you restrict the dimensions to integers and L>W, then

L W

17 1

16 2

15 3

14 4

13 5

12 6

11 7

10 8

just 8 possibilities

9 possibilities, with 9 and 9 if you allow L=W

if you allow any real number for L and W

then there are an infinite number of possible dimensions