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Composite Shapes Area Worksheet
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Composite Shapes Area Worksheet
Find the area of each part, then combine the areas. Show your working and include the correct units.
Recognising composite shapes
1.Which description best fits a composite shape?
- A shape formed by joining two or more simple shapes
- Any shape with exactly four sides
- A shape made only from curved lines
- A single triangle
2.A shape is split into a rectangle and a triangle that do not overlap. What should you do to find its total area?
- Add the areas of the rectangle and triangle
- Add the side lengths only
- Count the vertices
- Subtract the triangle's area from the rectangle's area
Work out the total area
Each set of parts is joined without overlapping. Calculate the combined area.
3.A composite shape consists of a rectangle measuring 9 cm by 4 cm and another rectangle measuring 5 cm by 3 cm. Find the total area.
4.A composite shape consists of a square with side length 6 cm and a rectangle measuring 8 cm by 2 cm. Find the total area.
5.A composite shape is made from three non-overlapping rectangles: 7 cm by 3 cm, 4 cm by 5 cm, and 6 cm by 2 cm. Work out its total area.
6.At a netball tournament, Isla helps mark out a non-overlapping court-side display made from two rectangles. One measures 11 m by 4 m and the other measures 3 m by 5 m. What is the display's total area?
Design and explain
7.Draw a composite shape using rectangles and squares. Label the dimensions of each part, then calculate its total area.
8.Explain how splitting a composite shape into rectangles or squares can help you find its area.
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