Square and Equilateral Triangle: GRE Quantitative Comparison Question#14

 
This GRE quantitative comparison question tests your understanding of basic geometric properties of squares and equilateral triangles.

$\begin{array}{c c c c c c c c c c c}
& & \underline{\textrm{Quantity A}} & & & & \underline{\textrm{Quantity B}} \\
& & & & & & \\
& & \textrm{The area of a square with a} & & & & \textrm{The area of an equilateral triangle} \\
& & \textrm{diagonal of length 2} & & & & \textrm{with a height of 2} \\
\end{array}$

1. $\quad \textrm{Quantity A is greater.}$
2. $\quad \textrm{Quantity B is greater.}$
3. $\quad \textrm{The two quantities are equal.}$
4. $\quad \textrm{The relationship cannot be determined from the information given.}$