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Question

Question 82

Find the area of shaded portion.


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Solution

Area of shaded portion=Area of trapezium ABCH+Area of trapezium CDEF + Area of rectangle GHCF

Area of trapezium = 12×(Sum of parallel sides)×(Height)

Area of trapezium ABCH
=12×([123]+6)×4
=12×9×4
=9×2
=18 cm2

Area of trapezium CDEF
=12×(8+[164])×3
=12×(8+12)×3
=12×20×3
=10×3
=30 cm2

Area of rectangle GHCF
=4× 3
=12 cm2

Hence, area of shaded portion
=(18+30+12) cm2
=60 cm2


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