# Question #30b71

##### 1 Answer

The area is maximum if all the wire is used for the square.

it is minimum when the side of the square is

#### Explanation:

Name

The piece that is used for the triangle is then

The area of the square is:

The area of the triangle is:

The total area is:

Equate the derivative of

As the second derivative is always positive, this point is the minimum.

As there are no other stationary points, the maximum will be at one the extreme points of the interval, i.e. either for