Problem $4$ A $2\mathrm{.}00-$m long metal wire is formed into a square and placed in the horizontal xy$-$plane.

A uniform magnetic field is oriented at $30$ degrees above the horizonal with a strength of $0\mathrm{.}344$ T$.$

What is the magnetic flux through the square due to this field? $($Remember a square has $4$ equal

sides.$)$

A$)0\mathrm{.}298$ T x m$^2$

B$)0\mathrm{.}0430$ T x m$^2$

C$)0\mathrm{.}172$ T x m$^2$

D$)0\mathrm{.}0745$ T x m$^2$

E$)0\mathrm{.}344$ T x m$^2$