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WAEC Mathematics 1991 (August) Question 50

Question 50

Triangles and Quadrilaterals

In the diagram below, |AD| = 10cm, |DC| = 8cm and |CF| = 15cm.
Which of the following is correct?

Diagram for this question
  1. A.Area BCF = Area DCF
  2. B.Area ADE = Area ADF
  3. C.Area ADE = Area DCFE
  4. D.Area CBF = Area DABC
  5. E.Area DABO = Area CFEO
Show the answer and explanation

Answer: E (Area DABO = Area CFEO)

Explanation

Parallelograms ABCD and DCFE have equal areas. Removing the common triangle DOC from each leaves DABO and CFEO, so these are equal.