# Given a rectangular area, how do I find the largest possible perimeter?

##### 1 Answer

Aug 15, 2014

Trick question; the answer is undefined.

For rectangles, we have:

We can rearrange:

Because of symmetry, we want to look for the largest

If the question is reversed, where we are looking for the largest area given a perimeter, then we would have a question that has a solution.

Or you can reverse the question to we are looking for smallest perimeter given a rectangular area; this too would have a solution.