### Polydron

This activity investigates how you might make squares and pentominoes from Polydron.

### Fencing Lambs

A thoughtful shepherd used bales of straw to protect the area around his lambs. Explore how you can arrange the bales.

### Numerically Equal

Can you draw a square in which the perimeter is numerically equal to the area?

# Lawn Border

##### Age 5 to 11Challenge Level

Rosie from the Thomas Deacon Academy in Peterborough U.K. sent in the following accompanied by the diagrams.

From carrying out this solution, I have found that the more corners there are to the shape of the lawn the more tiles you need, as for every corner you need an extra tile to go in the tip (edge). I found many differant shapes that could be used for the lawn and tiles and have included the most interesting and practical ones.

Finlay from Sutton in the U.K. said the following:

The solution to a rectangular lawn is:
Mathematical terms:$(n x 2) + (X x 2) + 4$
English terms: if you multiply on side of the lawn by two and add it to a different length side multiplied by two, and then add four it will equal the number of tiles around the lawn.

Thank you, both of you for these good solutions.