Of all rectangles , each of which has perimeter: 60 cm . Find the one having maximum area. Also find that area.

Of all rectangles , each of which has perimeter: 40 cm . Find the one having maximum area. Also find that area.

The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30 cm, find its length. Also find the area of the rectangle

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 inscribed in a given circle the square has maximum area.

The perimeter of a square is 96 cm . Find the area of the square.