A 3 by 4 rectangle has 14 points equally spaced around its four sides, as shown. In how many ways is it possible to join two of the points by a straight line so that the rectangle is divided into two parts which have areas in the ratio ?
Sign in or create an account to reveal answers, view the solution, and save your progress. Create a free account to unlock practice and keep track of your work.
Junior Mathematical Olympiad 2008 (2008)
One puzzle per day. Cryptarithm, Magic Square, Summit. No sign-up required to play.
Play daily puzzle →Interactive problems and curated lessons—water pouring, magic squares, knight's tour, and more.
Browse library →See how you rank. Top solvers by problems solved correctly. Sign in to climb the ranks.
View leaderboard →Junior Mathematical Olympiad 2008 (2008)