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

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

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

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.

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

The side of a square is 5 m and the perimeter a rectangle is equal to the perimeter of the square. If the length of the rectangle is 6 m, then find the ratio of the areas of the square and the triangle.

A rectangle with perimeter 32 cm has greatest area if its length is