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.

The side of a square is 6cm. A rectangle has the same perimeter as that of the square. If the length of the rectangle of the same perimeter is 8cm, calculate its breadth and area.

The perimeter of a rectangle is 30 cm. If the lengths of the sides of the rectangles are natural numbers, find all rectangles with same perimeter and also find their respective areas.

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