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GCE Mathematics 1989 Question 15

Question 15

Mensuration of Plane Shapes

In the diagram above ABDE and FCDE are parallelograms. If |FC| = 12.2cm and the height |PC| = 4.0cm, calculate the area of parallelogram ABDE.

Diagram for this question
  1. A.3.05cm2
  2. B.8.20cm2
  3. C.16.20cm2
  4. D.24.40cm2
  5. E.48.80cm2
Show the answer and explanation

Answer: E (48.80cm2)

Explanation

|ED| = |FC| = 12.2 cm (opposite sides of FCDE), and both parallelograms have height 4.0 cm. Area of ABDE = 12.2 × 4.0 = 48.80 cm².