Divide convex polygon into 4 equal areas

[ask_questions]

Homework Statement

Show that it is possible to cut any convex polygon into 4 pieces of equal areas by using two cuts perpendicular to each other.

Homework Equations

None, it's just a proof I found on the back of my book. The relevant chapter is Continuity, the maximum principle, and intermediate value theorem for real analysis.

The Attempt at a Solution

I have no idea! Can someone tell me how to approach this please?

Thanks!

 

[the_kid]

Anyone know how to do this?

 

[checkitagain]

What about considering the centroid of the convex polygon?