Lesson 5 of 8 · Grades 3 to 6

Practice: Area of triangles and parallelograms

Ten questions on triangle and parallelogram area: half of base times height, base times height, perpendicular height and comparing areas.

How to use this page

This page gives you ten more questions on the same idea as the lesson "Area of triangles and parallelograms". Work through them at your own speed. Write your answer down or say it out loud before you open the answer box, so you give yourself a real chance to think.

If a question feels hard, go back to the lesson and look at the worked example again. Getting a question wrong is useful; it shows you the part that needs one more look.

Practice questions

Answer all ten questions in your notebook or in your head. Then open each answer to check your work.

  1. A triangle has a base of 10 cm and a height of 6 cm. What is its area?

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    30 cm². 10 × 6 = 60, and half of 60 is 30.

  2. A parallelogram has a base of 11 m and a height of 5 m. What is its area?

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    55 m². 11 × 5 = 55.

  3. A triangle has a base of 14 cm and a height of 4 cm. What is its area?

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    28 cm². 14 × 4 = 56, and half of 56 is 28.

  4. A parallelogram has a base of 12 cm and a height of 7 cm. What is its area?

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    84 cm². 12 × 7 = 84.

  5. A triangle has a base of 9 m and a height of 8 m. What is its area?

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    36 m². 9 × 8 = 72, and half of 72 is 36.

  6. A parallelogram has a base of 15 cm and a height of 6 cm. What is its area?

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    90 cm². 15 × 6 = 90.

  7. A triangle has an area of 40 cm² and a base of 10 cm. What is its height?

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    8 cm. 10 × 8 = 80, and half of 80 is 40, so the height is 8 cm.

  8. A parallelogram has an area of 63 m² and a base of 9 m. What is its height?

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    7 m. 63 ÷ 9 = 7.

  9. A triangle has a base of 16 cm and a height of 5 cm. A parallelogram has a base of 8 cm and a height of 5 cm. Which has the bigger area?

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    They are equal. The triangle is half of 80 = 40 cm², and the parallelogram is 8 × 5 = 40 cm².

  10. A sail is a triangle with a base of 6 m and a height of 7 m. What is its area?

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    21 m². 6 × 7 = 42, and half of 42 is 21.