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Question 59

A triangle and a parallelogram each have a base of 8 centimetres and a perpendicular height of 5 centimetres. Select all the statements that are true about their areas.

  1. The two shapes cover the same area, since their base and height match.
  2. The triangle covers 20 square centimetres.Bonne réponse
  3. The parallelogram covers 40 square centimetres.Bonne réponse
  4. The triangle covers twice as much as the parallelogram.

Explication

With the same base and perpendicular height the parallelogram measures 8 times 5, while the triangle takes only half of that product, so one covers 40 and the other 20. Treating the two as equal ignores the half that separates the triangle rule from the parallelogram rule, even though both use identical measurements.

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