The diagram shows a parallelogram with area . The diagonals of the parallelogram meet at the point . The point is on the edge . The lines and meet at . The lines and meet at . The sum of the areas of triangles and is . What is the area of quadrilateral ?
Input note: give your answer in terms of .
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.
Grey Kangaroo 2017 (2017)
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 →Grey Kangaroo 2017 (2017)