# Detour of an Ant

Geometry Level 4

An ant is walking along the cartesian plane. It starts at the point $$A=(-18,8)$$ walks in a straight line to a point on the $$x$$-axis, walks directly to the right for 7 units and then walks in a straight line to the point $$B=(9,13)$$. What is the shortest distance that the ant could have walked?

Details and assumptions

"Walks directly to the right for 7 units" means that the ant walked from a point $$(x,y)$$ to the point $$(x+7, y)$$.

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