Question

How do I find an optimal rectangular area?

Answer 1

A square has the optimal rectangular area.

Explanation:

Find the area function, then maximize value.

Find the area function in one variable, so if you have `200` feet perimeter, your sides of the rectangle are `x` and `100-x`. (remember two sides is half of the `200`).

`A=100x-x^2`

The maximum `x` value occurs at

`x=-b"/"2a => x = 50`

So then the other side will be `50` as well, so you have four sides totaling `200`.

Answer attributed to dear David Britz, who for some reason didn't post an answer and left a comment for us to see this question again and again.