In the given figure, $ABCDEF$ is a regular hexagon whose side is $6\, cm$. $APF$, $QAB$, $DCR$, and $DES$ are equilateral triangles. What is the area (in $cm^2$) of the shaded region (in $\sqrt{3}$)?

The area of a triangle whose sides are $15 \, m$,$16 \, m$,and $17 \, m$ is

If the base of a parallelogram is $(x+4)$,the altitude to the base is $(x-3)$,and the area is $(x^{2}-4)$,then the actual area is equal to (in $Sq\, units$)

The length of a rectangular field is twice its breadth. If the rent of the field at ₹ $3500$ per hectare is ₹ $28000$,then find the cost of surrounding it with a fence at ₹ $5$ per meter (in ₹).

The circumference of two circles is $132\, m$ and $176\, m$ respectively. What is the difference between the area of the larger circle and the smaller circle? (in $sq\,m$)

The area of a big rectangle is equal to the area of a small rectangle. If the length of the big rectangle is equal to the length of the small rectangle and the width of the big rectangle is $2 \ m$,what is the width of the small rectangle?