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Area of composite shapes

Name: _____________________ Date: __________

Show your thinking with numbers, words, or a drawing.

1. What is the area of this shape, in square metres? All the corners are right angles.

6 m4 m6 m4 m12 m8 m

2. What is the area of this shape, in square metres? All the corners are right angles.

7 m7 m6 m2 m13 m9 m

3. What is the area of this shape, in square metres? All the corners are right angles.

4 m2 m10 m6 m14 m8 m

4. What is the area of this shape, in square metres? All the corners are right angles.

9 m2 m6 m9 m3 m11 m

5. What is the area of this shape, in square metres? All the corners are right angles.

6 m2 m4 m5 m2 m7 m

Answer key · Area of composite shapes

1. 72

The dashed line splits the shape into two rectangles.

6 × 4 = 24 and 12 × 4 = 48.

24 + 48 = 72 m².

2. 75

The dashed line splits the shape into two rectangles.

7 × 7 = 49 and 13 × 2 = 26.

49 + 26 = 75 m².

3. 92

The dashed line splits the shape into two rectangles.

4 × 2 = 8 and 14 × 6 = 84.

8 + 84 = 92 m².

4. 45

The dashed line splits the shape into two rectangles.

3 × 9 = 27 and 9 × 2 = 18.

27 + 18 = 45 m².

5. 22

The dashed line splits the shape into two rectangles.

2 × 5 = 10 and 6 × 2 = 12.

10 + 12 = 22 m².

Try it together

Choose three objects at home. Estimate their measurements, then check together and explain the differences.

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