Question

I have a rectangle with a perimeter of 64. How do I find the area?

Answer 1

The area of the rectangle could like anywhere between `0` and `256` according to its proportions.

Explanation:

If the length of one side of the rectangle is `t`, then the area of the rectangle is `t(32 - t)`, which takes its maximum value when `t = 16` - that is when the rectangle is square.

Here's a graph of `1/10 t(32-t)`

graph{x(32-x)/10 [-22.16, 57.84, -9.6, 30.4]}