Area - triangles, quadrilaterals, compound shapes

Can you find and prove the relationship between the area of a trapezium and the area of a triangle constructed within it?

The farmers want to redraw their field boundary but keep the area the same. Can you advise them?

This task challenges you to create symmetrical U shapes out of rods and find their areas.

Start with a triangle. Can you cut it up to make a rectangle?

We started drawing some quadrilaterals - can you complete them?

Can you find the areas of the trapezia in this sequence?

What's special about the area of quadrilaterals drawn in a square?

What are the possible areas of triangles drawn in a square?

Can you make sense of the three methods to work out what fraction of the total area is shaded?

What happens to the area and volume of 2D and 3D shapes when you enlarge them?