# A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How should the wire be cut so that the total area enclosed is maximum?

##### 1 Answer

Jun 28, 2018

The triangle should have

#### Explanation:

We know the perimeter of the two shapes combined will be the amount of wire, 10 m.

Call the two pieces

Since

Look for critical values.

It follows that

Hopefully this helps!