The adjacent sides of a rectangle with given perimeter as 1…

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

Published by: CGP EDU Academic Team

Published on: August 13, 2026

The adjacent sides of a rectangle with given perimeter as 100 cm and enclosing maximum area are

10 cm and 40 cm

20 cm and 30 cm

25 cm and 25 cm

15 cm and 35 cm

Text Solution

Verified by Experts

The correct answer is:

…..(i)

Let area of rectangle is A ;

Put in (i), we have

⇒ ⇒

For maximum area

and

Hence adjacent sides are 25 and 25 cm .

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