Michael was walking in Marrakesh when he saw a tiling formed by tessellating the square tile as shown.
The tile has four lines of symmetry and the length of each side is 8cm. The length of is 2cm. The point is such that is a straight line and is parallel to sides of the square.
What is the area of the central grey octagon?
Select one option, then click Submit.
6 \text{ cm}^2
7 \text{ cm}^2
8 \text{ cm}^2
9 \text{ cm}^2
10 \text{ cm}^2
Select an option, then submit.
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.
Senior Mathematical Challenge 2016 (2016)
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 →Senior Mathematical Challenge 2016 (2016)