Question

Good evening sir/ma'am,

I recently watches a IIT NEET video under the topic differentiation,

There was this problem "How can a string of length L be made into a rectangle so as to maximize the area of the rectangle"

I understood the solution and how it was solved but I wanted to ask that how does it matter, if the length of the string remains constant, any shape made with the same string of length L, doesn't the area of all those will be equal?

Answer 1

We can make lot of shapes with the string of lenght L, different shapes have different area's

Circle is the shape that gives maximum area,out of all the shapes that can be made using the length 'L'

If we take case of the quadrilateral the square will have largest area

Maximum area problem with a given length can be calculated using differentiation

The maximum area's of different shapes are different for a given length

hope it was helpful