IKMC 2024 - Grades 11-12 - Self-study Question 10

Question 10

A solid path and a dashed path each divide a park into two equal areas. Which relation among the three marked intervening regions A, B, C must hold?

Question illustration

$A=C$
$B=A+C$
$B=\frac12(A+C)$
$B=\frac23(A+C)$
$B=\frac35(A+C)$