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Compound Area

Understand how compound shapes are formed by combining multiple shapes and learn to calculate their total area by adding individual shape areas. Practice calculating compound shapes with examples provided.

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Compound Area

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  1. Compound Area Compound area is where a shape can be made up of other shapes. The area of a compound shape can be found by calculating the area of the shapes from which they can be formed, and adding these together. Here is a compound shape made of 2 rectangles. 1 2

  2. Compound Area Calculate the area of this compound shape: 3cm 6cm 7cm 4cm

  3. Compound Area Calculate the area of this compound shape: 3cm 6cm 7cm 4cm 24cm² + 21cm² = Area = (4cm x 6cm) + (3cm x 7cm) = 45cm²

  4. Compound Area Calculate the area of this compound shape: 5cm 7cm 9cm 6cm 42cm² + 45cm² = Area = (6cm x 7cm) + (5cm x 9cm) = 87cm²

  5. Compound Area Calculate the area of this compound shape: 3cm 6cm 8cm 2cm 16cm² + 18cm² = Area = (2cm x 8cm) + (3cm x 6cm) = 34cm²

  6. Compound Area Calculate the area of this compound shape: 5cm 10cm 5cm 4cm 40cm² + 25cm² = Area = (4cm x 10cm) + (5cm x 5cm) = 65cm²

  7. Compound Area Calculate the area of this compound shape: 3cm 7cm 8cm 6cm 24cm² + 42cm² = Area = (8cm x 3cm) + (7cm x 6cm) = 66cm²

  8. Compound Area Calculate the area of this compound shape: 4cm 8cm 12cm 8cm 48cm² + 64cm² = Area = (12cm x 4cm) + (8cm x 8cm) = 112cm²

  9. Compound Area Calculate the area of this compound shape: 9cm 15cm 7cm 6cm 63cm² + 90cm² = Area = (7cm x 9cm) + (15cm x 6cm) = 153cm²

  10. Compound Area Calculate the area of this compound shape: 16cm 4cm 5cm 13cm 64cm² + 65cm² = Area = (16cm x 4cm) + (13cm x 5cm) = 129cm²

  11. Compound Area Calculate the area of this compound shape: 32cm 6cm 20cm 24cm 192cm² + 480cm² = Area = (6cm x 32cm) + (20cm x 24cm) = 672cm²

  12. Compound Area Calculate the area of this compound shape: 28cm 8cm 15cm 18cm 224cm² + 270cm² = Area = (28cm x 8cm) + (18cm x 15cm) = 494cm²

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