Show that of all rectangles with given perimeter square has maximum area

Show that of all rectangles with given area square has minimum perimeter.

Show that, of all the rectangles with a given area, the square has the smallest perimeter.

Show that of all rectangles inscribed in a given circle the square has maximum area.

Statement I :Among all the rectangles of the given perimeter, the square has the largest area. Also among all the rectangles of given area, the square has the least perimeter. Statement II :For xgt0,ygt0,ifx+y = constant, then xy will be maximum for y=x and if xy=constant, then x+y will be minimum for y=x.

True or False statements: Of all rectangles of a given area, square has the largest perimeter.

The formula to find perimeter of a square is :

Perimeter of square is 2 m more than (2)/(3) the perimeter of rectangle . If perimeter of square is 10 m . Find the dimension of the rectangle if breadth is (1)/(5) the length .