Competition problem — Geometry — Maths Olympiad Prep

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Geometry Difficulty 4.5 AIME Find the answer

3. The base of a right quadrilateral prism is a rhombus with side length 2 and an angle of $30^{\circ}$ , and the height is 1. A section is made through the base edge at an angle of $60^{\circ}$ to the base. The area of this section is $\qquad$

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

3. $\frac{4}{\sqrt{3}}$

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