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Find the area of the shaded portion in the following figure.

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Question

Find the area of the shaded portion in the following figure.

Sum
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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 = 1200 cm2

Area of ΔAEB = `1/2 xx AB xx EF`

= `1/2 xx 40 xx 30`

= 600 cm2

∴ Area of shaded region = 1200 – 600 = 600 cm2 

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Chapter 11: Mensuration - Exercise [Page 354]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 11 Mensuration
Exercise | Q 80. | Page 354

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