A rectangle is inscribed in an equilateral triangle of side length units

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A rectangle is inscribed in an equilateral triangle of side length

2a

units. The maximum area of this rectangle is (a)

\sqrt3a^2

(b)

\frac{\sqrt3a^2}{4}

(c)

a^2

(d)

\frac{\sqrt3a^2}{2}