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

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

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

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

Show that the largest rectangle with a given perimeter is a square.

The area of a square is thrice the area or a rectangle. If the area of the square is 225 cm and the length of the rectangle is 15 cm. what is the difference between the breadth of the rectangle. and the side of the square ?

Perimeter of a square is 28 cm and length of the rectangle is 8 cm. If the perimeter of the square and the rectangle are equal, then the area (in cm^(2) ) of the rectangle is

Given the sum of the perimeters of a square and a circle,show that the sum of their areas is least when one side of the square is equal to diameter of the circle.