The definition of magnetic flux is the integral of the magnetic field over a surface area.

F = int_surf ( **B** dot d**S** )

In general, **S** can be any oddly-shaped surface. In your
problem statement, all of the flux lines are normal to the surface. This means
that you can visualize the answer to the problem by mapping (stretching) the
surface into a rectangle shape with surface area 20 cm^2. Just imagine
that all the field lines morph with the surface so that they remain normal, and
the field density remains 15 W/m^2.

Now, your dealing with a geometry that is simple. B is constant, so take it out of the integral:

F = B int_surf ( **1** dot d**S** ), where
**i** is the unit vector normal to the new surface.
But, int_surf ( **1** dot d**S** ) is just
the area of the surface, 20cm^2.

Thus, F = 20 cm^2 * 15 Web/m^2 * 1 m^2 / ( 100 cm )^2

**F = 30 mWeb**

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