Perimeter

Can you find rectangles where the value of the area is the same as the value of the perimeter?

How can you change the area of a shape but keep its perimeter the same? How can you change the perimeter but keep the area the same?

Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make?

What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

Weekly Problem 8 - 2010
Are you able to find triangles such that these five statements are true?

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?

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?

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

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?

Can you put these shapes in order of size? Start with the smallest.