10 Area common to three squares inside the regular hexagon
Problem
Three squares are drawn so that each will contain a side of regular hexagon as shown in the given figure. If the hexagon has a perimeter of 60 in., compute the area of the region common to the three squares. The required area is the shaded region in the figure.
![Equilateral triangle bounded by three squares](http://www.mathalino.com/sites/default/files/images/027-squares-regular-hexagon.gif)