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Mathematics
Problem
A rectangle is inscribed in an equilateral triangle of side length
2
a
2a
2
a
units. The maximum area of this rectangle can be (a)
3
a
2
\sqrt{3}a^2
3
a
2
(b)
3
a
2
4
\frac{\sqrt{3}a^2}{4}
4
3
a
2
(c)
a
2
a^2
a
2
(d)
3
a
2
2
\frac{\sqrt{3}a^2}{2}
2
3
a
2
(a)
3
a
2
\sqrt{3}a^2
3
a
2
(b)
3
a
2
4
\frac{\sqrt{3}a^2}{4}
4
3
a
2
(c)
a
2
a^2
a
2
(d)
3
a
2
2
\frac{\sqrt{3}a^2}{2}
2
3
a
2
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