MathDB

Purple Comet 2018 MS problem 12

Source:

March 19, 2020

geometry

Problem Statement

Line segment

\overline{AB}

has perpendicular bisector

\overline{CD}

, where

P

is the midpoint of

\overline{XY}

. The segments have lengths

X

and

CD = 60

. Let

R

be the set of points

P

that are midpoints of line segments

\overline{XY}

, where

X

lies on

\overline{AB}

and

Y

lies on

\overline{CD}

. Find the area of the region

R

.

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