In the diagram below, the points P and Q are the midpoints of opposite sides
of a regular hexagon. What fraction of the hexagon is shaded?
Select the correct option
A) 2/3
B) 3/4
C) 5/6
D) 7/8
E) 11/12
Assume the hexagon has side length b. The total area of the hexagon is then 6 times   the area of a equilateral triangle side-length b; this is, 6bh=2 = 3b2   p   3. The area of the shaded   quadrilateral can be seen as the addition of the area of two isosceles triangles with base 2b   and height   p   3b=2. The requested fraction is then 2=3.   correct answer 2/3
<result>A</result>
In the diagram below, the points P and Q are the midpoints of opposite sides
of a regular hexagon. What fraction of the hexagon is shaded?