HMMT 2007 U14

Guts
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We are given some similar triangles. Their areas are $1^{2}, 3^{2}, 5^{2} \ldots$ , and $49^{2}$ . If the smallest triangle has a perimeter of 4 , what is the sum of all the triangles' perimeters?

Dataset text NuminaMath olympiads. Quoted with source.

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