Home
Class 12
MATHS
Show that all the rectangles with a g...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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.

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 with a given area, the square has the smallest perimeter.

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

Prove that among all the rectangles of the given perimeter, the square has the maximum area.

Show that , of all rectangles of given permeter , the square has the greatest area.

Show that of all rectangles with given perimeter square has maximum area

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