In a school, auditorium was used for its cultural activities. The shape of the floor of the auditorium is rectangular with dimensions x and y (x > y), has fixed parameter p.
Based on the above information answer the following questions.
The value of y, for which area of floor of auditorium is maximum is :
Answer & explanation
Correct answer: option 3
p = 2x + 2y
at $x = \frac{p}{4}$ → area maximum
so $p = \frac{2p}{4} +2y$
⇒ $p - \frac{p}{2} = 2y$
⇒ $y = \frac{p}{4}$ → for max. area