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WAEC Mathematics 2001 Question 46

Question 46

Mensuration of Plane Shapes

In the diagram, MN||PQ, |LM| = 3 cm and |LP| = 4cm. If the area of ΔLMN is 18 cm2, find the area of quadrilateral MPQN.

Diagram for this question
  1. A.3 cm2
  2. B.6 cm2
  3. C.14 cm2
  4. D.24 cm2
Show the answer and explanation

Answer: C (14 cm2)

Explanation

ΔLMN and ΔLPQ are similar with sides in ratio 3 : 4, so their areas are in ratio 9 : 16. Area LPQ = 32 cm2, and MPQN = 32 − 18 = 14 cm2.