Combinatorics warmup

If we try to see the figure in 3d, it will look like a cuboid, $\boxed{6}$ quadrilaterals can be drawn out from there( $\boxed{6}$ faces of the cuboid).

The remaining $\boxed{4}$ are easy to determine.

That makes the total to $\boxed{10}$

Easy counting reveals that there are $10$ quadrilaterals.

2 large trapeziums (splitting the shape in half), 2 smaller ones (between the squares), 2 squares (created using 2 triangles), and 2 4-sided parallelograms can be created on each half of the whole shape (the small trapezium and one triangle combined)... so 4 parallelograms. Thus, 10 shapes.