Area - squares and rectangles

How many squares are needed to continue this pattern?

Can you work out the fraction of the larger square that is covered by the shaded area?

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?

This diagram has symmetry of order four. Can you use different geometric properties to find a particular length?

This quadrilateral has an unusual shape. Are you able to find its area?

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

M is the midpoint of the side of the rectangle. What is the area (in square units) of the triangle PMR?

Weekly Problem 29 - 2008
The seven pieces in this 12 cm by 12 cm square make a Tangram set. What is the area of the shaded parallelogram?

Weekly Problem 3 - 2009
What fraction of the area of this regular hexagon is the shaded triangle?

Weekly Problem 34 - 2008
What is the area of the region common to this triangle and square?