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Re: Finding maximum and minimum of areas and perimeters
Originally Posted by pratikw
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.