Find the area of the shaded region in the unit grid.

The figure can be divided into triangles and a rectangle as shown. So the required area is equal to the area of the four triangles plus the area of the rectangle.

$A=2\left(\dfrac{1}{2}\right)(2)(6)+2\left(\dfrac{1}{2}\right)(2)(3)+2(4)=\boxed{26}$