# Calculate the area of shapes made from 2 rectangles by decomposing the shape in different ways

You can decompose or split shapes into rectangles in different ways.

# Calculate the area of shapes made from 2 rectangles by decomposing the shape in different ways

You can decompose or split shapes into rectangles in different ways.

## Lesson details

### Key learning points

- Different ways of decomposing the shape will give the same answer.
- The area stays the same however you split the shape.
- Calculate the areas of the rectangular parts and recombine to find the area of the whole shape.

### Common misconception

Some pupils may not see that two rectilinear shapes can look very different but have the same area.

Cut out a large rectangle. Cut it into two rectangles. Ask pupils to move one of the rectangles and reposition it. Has the area changed?

### Keywords

Rectilinear - A shape made up of two or more rectangles is known as rectilinear.

Compound - A compound shape is one made up of two or more shapes.

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Video

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## Starter quiz

### 6 Questions

## Exit quiz

### 6 Questions

has all angles made from right angles.

is made up of two or more shapes.