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Area of a parallelogram

Name: _____________________ Date: __________

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

1. This parallelogram has a base of 14 cm and a perpendicular height of 6 cm. What is its area in square centimetres?

14 cm6 cm

2. This parallelogram has a base of 10 cm and a perpendicular height of 12 cm. What is its area in square centimetres?

10 cm12 cm

3. This parallelogram has a base of 16 cm and a perpendicular height of 6 cm. What is its area in square centimetres?

16 cm6 cm

4. This parallelogram has a base of 17 cm and a perpendicular height of 12 cm. What is its area in square centimetres?

17 cm12 cm

5. This parallelogram has a base of 15 cm and a perpendicular height of 8 cm. What is its area in square centimetres?

15 cm8 cm

Answer key · Area of a parallelogram

1. 84

Cut the triangle off one end and move it to the other: the parallelogram becomes a rectangle. Area = base × height.

The base is 14 cm and the height is 6 cm.

14 × 6 = 84 cm².

2. 120

Cut the triangle off one end and move it to the other: the parallelogram becomes a rectangle. Area = base × height.

The base is 10 cm and the height is 12 cm.

10 × 12 = 120 cm².

3. 96

Cut the triangle off one end and move it to the other: the parallelogram becomes a rectangle. Area = base × height.

The base is 16 cm and the height is 6 cm.

16 × 6 = 96 cm².

4. 204

Cut the triangle off one end and move it to the other: the parallelogram becomes a rectangle. Area = base × height.

The base is 17 cm and the height is 12 cm.

17 × 12 = 204 cm².

5. 120

Cut the triangle off one end and move it to the other: the parallelogram becomes a rectangle. Area = base × height.

The base is 15 cm and the height is 8 cm.

15 × 8 = 120 cm².

Try it together

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

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