The maximum area of the rectangle whose sides pass through the vertices of a given…

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

The maximum area of the rectangle whose sides pass through the vertices of a given rectangle of sides

a

and

b

is (a)

2ab

(b)

\frac{1}{2}(a+b)^2

(c)

\frac{1}{2}(a^2+b^2)

(d) None of these