Hello, Sarah!

Code:

P
*
/:\
/:::\
/:::::\
/:::::::\
/::::O::::\
A* - - * - - *B
/:\ /:\ /:\
/:::\ /:::\ /:::\
/::::M*- - -*N::::\
/:::::::\ /:::::::\
/:::::::::\-/:::::::::\
* - - - - - * - - - - - *
Q C R

It can be shown that:

. . When the midpoints of the sides of a triangle are joined,

. . the triangle is divided into four congruent triangles.

Each triangle has one-fourth of the area.

Joining the midpoints of the side of

. . we see that is shaded.

The unshaded triangle, , has the area of

. . and of it is shaded.

That is: .

Therefore, the total shaded area is: .