How Do You Calculate Net Torque Without Knowing the Center of Mass?

[shashusad]

In the following question, I'm unable to find the center of mass to do the Torque calculation:

Two 59.0 N forces are applied in opposite directions to the 13.6 cm long figure shown. If the angle θ=37.0°, what is the net torque about the center of mass?

Image: http://www.freeimagehosting.net/image.php?02a6935f86.png

 

[Doc Al]

Hint: These forces form a couple.

 

[shashusad]

I get that the forces form a couple. I could do the Torque calculation but I can't figure out the center of mass of the object

 

[Doc Al]

I get that the forces form a couple. I could do the Torque calculation but I can't figure out the center of mass of the object

Does it matter? Hint: Try finding the torque about two different points.