14

Part of 2007 Harvard-MIT Mathematics Tournament

Problems(1)

2007 Guts #14: Similar Triangles

Source:

We are given some similar triangles. Their areas are

1^2,3^2,5^2,\cdots,

49^2

. If the smallest triangle has a perimeter of

4

, what is the sum of all the triangles' perimeters?

geometryperimeterratio