#### Answer

(144 - 36$\pi )m^{2}$

#### Work Step by Step

Area of square = Area of shaded Region + 4 * Area of $\frac{1}{4}$ circle
Area of shaded region = Area of square - 4 * $\frac{1}{4}$area of circle
Area of shaded region = Area of square - Area of Circle
As we know area of square = $side^{2}$
= $12^{2}$ = 144 $m^{2}$
Area of Circle = $\pi r^{2}$
= $\pi 6^{2}$ = 36$\pi m^{2}$
Area of shaded region = (144 - 36$\pi )m^{2}$