A square loop of wire has a perimeter of \(60 \mathrm{~cm}\) and is oriented such that two of its parallel sides form a \(30^{\circ}\) angle with the horizontal. A uniform horizontal magnetic field of magnitude 0.2 T passes through the loop.

(a) Calculate the magnetic flux through the loop.

(b) Another loop lies in the same plane but has an irregular shape resembling that of a starfish. Its area equals that of the square loop. Calculate the flux through this loop.