# Brilli The Ant is Back!

Geometry Level 5

A $$\large 12$$ feet high room is $$\large 40$$ feet long and $$\large 10$$ feet wide. Brilli the ant is standing in the middle of one of the walls (which is $$\large 10$$ by $$\large 12$$ feet), such that it is 1 foot above the floor, and is equidistant from the other $$\large 2$$ edges of that wall.

In the middle of the wall opposite to Brilli's, rests a sugar crystal, one foot below the ceiling. The minimum distance Brilli needs to cover to reach the sugar crystal, assuming that Brilli can walk anywhere inside the room, is $$\large x$$. Determine the value of $$\large x^2$$.

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