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Found problems: 1

1947 Putnam, B3
Tags: Putnam , analytic geometry , line integrals
Let $x,y$ be cartesian coordinates in the plane. $I$ denotes the line segment $1\leq x\leq 3 , y=1.$ For every point $P$ on $I$, let $P'$ denote the point that lies on the segment joining the origin to $P$ and such that the distance $P P'$ is equal to $1 \slash 100.$ As $P$ describes $I$, the point $P'$ describes a curve $C$. Which of $I$ and $C$ has greater length?