## Challenge 356: Four Equal Pieces

(i) You can probably see straight away how you could use two straight, perpendicular lines to divide a **square** into four pieces of equal area. But how many ways are there to do this?

(ii) A slightly trickier problem arises if we have to use two straight, perpendicular lines to divide an **equilateral triangle** into four pieces of equal area. Find a way to do this and describe precisely where to draw the two straight lines.

(iii) More challenging still! Find a way to use two straight, perpendicular lines to divide a **regular pentagon** into four pieces of equal area and describe precisely where to draw the two straight lines.