Find the area of the shaded portion in the following figure.
[3 marks]
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Solution
Area of shaded region = Area of the parallelogram ABCD - Area of ΔABE ∵ Area of a parallelogram = Side×Height ∴ Area of a parallelogram ABCD = 40×30=1200cm2
[2 marks]
Area of ΔAEB=12×AB×EF=12×40×30=600cm2 ∴ Area of shaded region = 1200 - 600 =600cm2
[1 mark]