Given, length =x1m and breadth =x2m Also, x1+x2=40 where x1 and x2 are variables We know that, of all the rectangles, a square has the largest area. For the given rectangle to be a square x1=x2 So, x1+x2=40⇒x1=x2=20m ∴ Maximum area of the given rectangle =x1x2=(20×20)m2=400m2