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WAEC Mathematics 2007 Question 17

Question 17

Mensuration of Plane Shapes

In the diagram, |LN| = 4 cm, LN̂M = 90° and tan y = 2/3. What is the area of the ΔLMN?

Diagram for this question
  1. A.24 cm2
  2. B.12 cm2
  3. C.10 cm2
  4. D.6 cm2
Show the answer and explanation

Answer: B (12 cm2)

Explanation

tan y = LN/MN = 4/MN = 2/3, so MN = 6 cm. Area = ½ × 6 × 4 = 12 cm2.