The area of a rectangle will be maximum for the given perim…

Maths Differentiation and Applications of Derivatives Maxima and Minima Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

The area of a rectangle will be maximum for the given perimeter, when rectangle is a

Parallelogram

Trapezium

Square

None of these

Text Solution

Verified by Experts

The correct answer is:

We know that perimeter of a rectangle , where x and y are adjacent sides

⇒ ⇒ . Now area of rectangle,

Differentiating w . r . t . x of A , we get

and

Again

Hence the area of rectangle will be maximum when rectangle is a square.

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