In a school, a 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 area (A) of the floor, as a function of x can be expressed as :
Answer & explanation
Correct answer: option 3
Area = x × y = A(x)
as p = 2x + 2y
so $y = \frac{p-2x}{2}$
⇒ A(x) = $\frac{(p-2x)(x)}{2}$
A(x) = $\frac{px-2x^2}{2}$