The diagram MOPQ is a trapezium with QP MO MQ N... - WAEC Mathematics 2016 Question
The diagram, MOPQ is a trapezium with QP||MO, MQ||NP, NQ||OP, |QP| = 9cm and the height of (\Delta) QNP = 6cm, calculate the area of the trapezium.
A
96cm2
B
90cm2
C
81cm2
D
27cm2
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Correct Option: C
Area of (\Delta) QNP = (\frac{1}{2} \times 9 \times 6 ) = 27cm2
Area of (\Delta) QMN = Area of (\Delta) QNP
= Area of (\Delta) PNO (triangles between the same parallels)
Hence, area of the trapezium
3 x area of (\Delta) QNP
= 3 x 27
= 81cm2
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