You may also like

problem icon

Pebbles

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

problem icon

Great Squares

Investigate how this pattern of squares continues. You could measure lengths, areas and angles.

problem icon

Square Areas

Can you work out the area of the inner square and give an explanation of how you did it?

Shear Magic

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2
Lots of you wrote in to say that the areas of all the different triangles in the family was 1 square unit.

Luke of All Saints School gave the following explanation:

any 'family' of triangle with an equal bases and heights will have the same area because the area of a triangle is (base x height)/2.

when the base and height are always the same then the areas of the different triangles are always the same.

here the triangles have 1 unit in the base and 2 units in the height their area will always be 1 sq. unit.