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Investigate polygons with all the vertices on the lattice points of a grid. For each polygon, work out the area A, the number B of points on the boundary and the number of points (I) inside the polygon. Can you find a formula connecting A, B and I?

Weekly Problem 24 - 2009

Stage: 3 Short Challenge Level: Challenge Level:2 Challenge Level:2

UK + 4 = SMC

Each letter stands for a different digit, and S is non-zero. Which letter has the lowest value?

 

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

 

This problem is taken from the UKMT Mathematical Challenges.

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