We had several good solutions to this
problem. They came from Cong who goes to St Peter's RC Primary,
Aberdeen; Terence from Brumby Engineering College and Ben at
Kingsbarns Primary.
Cong coloured the first image:
He said:
The green and dark blue shape is
of the square's area (each). The blue shape is
of the square's area. From these three shapes you can work out the red shape's area which is
.
Cong then sent in a new version of the large
design:
He goes on to say:
This shape is made from combining 4 small squares together to get this big
shape. The shape in the middle of the large square is a rhombus. The big blue shape is
of the large square's area because it is
of the small square and because the large square is four times
as big as the small square, which means that it will be the same fraction.