Perimeter

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

Weekly Problem 28 - 2006
What can you say about the rectangles that form this L-shape?

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 time?

A circle touches the lines OA, OB and AB where OA and OB are perpendicular. Show that the diameter of the circle is equal to the perimeter of the triangle

Weekly Problem 27 - 2009
The perimeter of a large triangle is 24 cm. What is the total length of the black lines used to draw the figure?

The coke machine in college takes 50 pence pieces. It also takes a certain foreign coin of traditional design...

I cut this square into two different shapes. What can you say about the relationship between them?

A circular plate rolls in contact with the sides of a rectangular tray. How much of its circumference comes into contact with the sides of the tray when it rolls around one circuit?

Weekly Problem 44 - 2009
A garden has the shape of a right-angled triangle. A fence goes from the corner with the right-angle to a point on the opposite side. How long is the fence?

Tom and Jerry start with identical sheets of paper. Each one cuts his sheet in a different way. Can you find the perimeter of the original sheet?