Areas of Plane Figures between Parallel Lines — O/L Mathematics

How do I practise Areas of Plane Figures between Parallel Lines?

1 question with a worked solution

1. Parallelogram ABCD and triangle ABE lie on the same base AB and between the same parallel lines AB and DC. If the area of triangle ABE is 35 cm², what is the area of parallelogram ABCD?
   1. A) 70 cm²
   2. B) 35 cm²
   3. C) 17.5 cm²
   4. D) 105 cm²
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   Correct answer: A) 70 cm²

   By theorem, the area of a triangle on the same base and between the same parallels as a parallelogram is half the area of the parallelogram. Area of parallelogram = 2 × Area of triangle = 2 × 35 = 70 cm².

   Show worked solution

   Step 1: State theorem: Area(triangle) = 1/2 × Area(parallelogram) when sharing base and height. Step 2: Area(ABCD) = 2 × Area(ABE). Step 3: 2 × 35 cm² = 70 cm². Answer: 70 cm².
   Modelled on: the O/L Mathematics examination pattern

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Where does Areas of Plane Figures between Parallel Lines fit in the syllabus?

Grade 11 · Term 1