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Question
Find the area of the shaded portion in the following figure.
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Solution
Area of shaded portion = Area of trapezium – Area of rectangle – Area of circle
Area of trapezium = `1/2` × [Sum of parallel sides] × Height
= `1/2 xx (120 + 160) xx 100`
= `1/2 xx 280 xx 100`
= `28000/2`
= 14000 cm2
Area of rectangle = Length × Breadth
= 40 × 20
= 800 cm2
Area of circle = πr2
= `22/7 xx 7 xx 7`
= 154 cm2
∴ Area of shaded portion = 14000 – 800 – 154 = 13046 cm2
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