How do I solve this Area Integration question?

Question

1. (a) Consider the box whose vertices are (1; 1); (1; 0); (1; 0), and (1; 1). Let Lm

be the line with slope m that passes through the point (2; 0). Find the value of meR

which divides the box into two halves, each of equal area.

(b) Repeat the problem above, but replace the box with the triangle whose vertices

are (0; 0); (1; 0), and (0; 1);

Answer 1

This video answer only answers part a. Part b is done in a similar fashion, but is a bit more complicated.