Area of Trapezium by Division into Shapes of Known Area
Find the area...
Question
Find the area of the shaded portion in the following figures.
A
12946cm2
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B
13046cm2
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C
13246cm2
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D
13346cm2
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Solution
The correct option is B13046cm2 Area of shaded portion=Area of trapezium-Area of rectangle-Area of circle Area of trapezium =12×[Sum of parallel sides]×Height=12×(120+160)×100=12×280×100=280002=14000cm2Area of rectangle = Length×Breadth=40×20=800cm2Area of circle = πr2=227×7×7=154cm2∴Area of shaded portion=14000−800−154=13046cm2