This activity investigates how you might make squares and pentominoes from Polydron.
A thoughtful shepherd used bales of straw to protect the area
around his lambs. Explore how you can arrange the bales.
If I use 12 green tiles to represent my lawn, how many different
ways could I arrange them? How many border tiles would I need each
A garden has the shape of a right-angled triangle with sides of length $30$, $40$ and $50$. A straight fence goes from the corner with the right-angle to a point on the opposite side, dividing the garden into two sections which have the same perimeter. How long is the fence?
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.