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 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.

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

The side of a square is 6cm. A rectangle has the same perimeter as that of the square. Which has the greater area: the square or the rectangle?

The side of a square is 6cm. A rectangle has the same perimeter as that of the square. Find the area of the square.

If the perimeter of a square is 36 cm, then its area is

The perimeter of a square is 36 cm, find its area.

The perimeter of a square is 48 cm. Find its area.