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Question
In the following figure, area of parallelogram BCEF is ________ cm2 where ACDF is a rectangle.
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Solution
In the following figure, area of parallelogram BCEF is 35 cm2 where ACDF is a rectangle.
Explanation:
Area of parallelogram BCEF = Area of rectangle ACDF – Area of ΔABF – Area of ΔCDE ...[∵ Area of ΔABF = Area of ΔCDE]
= `10 xx 5 - 2 xx (1/2 xx 3 xx 5)` ...[∵ Area of triangle = `1/2` × Base × Height and Area of rectangle = Length × Breadth]
= 50 – 15
= 35 cm2
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