Inverse and Direct Variation Word Problems - Examples

You want to fence a garden and you have a fixed amount of fencing, but you have not decided what shape you want the garden to be. At first you make an square garden and the length of each side is $12$ feet. On second thought, you think the square is ugly so you use the same fencing to make a regular hexagonal garden. Is the relation between the number of sides and the length of each side directly or inversely proportional? What is the length of each side of the new hexagonal garden?