WAEC Mathematics 2016 Objective — Question 36

Question 36 of 50 from the West African Examinations Council (WAEC) Mathematics 2016 Objective paper, with the correct answer and a full explanation.

36. In the diagram above, MOPQ is a trapezium with QP//MO, MQ//NP, NQ//OP, |QP|=9cm and the height of ΔQNP=6cm, calculate the area of the trapezium. A. 96cm² B. 90cm² C. 81cm² D. 27cm²

A. 96cm²
B. 90cm²
C. 81cm²Correct
D. 27cm²

Explanation

Area = area of parallelogram QPNM + area of ΔPNO = (b×h) + (½×b×h) = (9×6) + (½×9×6) = 54+27 = 81cm².

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