# 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 minimum?

##### 1 Answer

The length of wire required for the square will be

#### Explanation:

Let the side of the square have a length

The combined lengths of the square and rectangle will equal

Area of equilateral triangle of side length

The total area of both square and triangle =

So differentiating ..

Hope this helps.