Angled Square

[fz51524]

A Square with sides of 57 mm is tilted to the left at a 30 degree angle. A normal square tilted at a 0 degree angle is added around it. What will the sides of the outer square be

 

[Romsek]

pretty clearly

[MATH]57 \cos(30^\circ) + 57 \sin(30^\circ) [/MATH]
I leave you to evaluate and simplify that.