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

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.

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

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

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

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

Find the area of a square park whose perimeter is 320 m.

The area of a square and a rectangle are equal. If the side of the square is 40 cm and the breadth of the rectangle is 25 cm, find the length of the rectangle. Also, find the perimeter of the rectangle.