ganand

Hi, For any given perimeter, generally equilateral polygon (a polygon with all sides equal) will have maximum area. For example, for a given perimeter of a triangle equilateral triangle will have maximum area. But, in the above question we have a right angle triangle, hence it can't be an equilateral triangle. So, next best we can make an isosceles triangle. Given: a+b = 40 for an isosceles right traingle a = b => 2a = 40 => a = 20 = b Area of traingle= 1/2*a*b = 1/2*20*20 = 200 units. Required answer is 200 units. Hope this helps. Thanks.