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In the diagram (ii) given below, calculate the area of the shaded portion. All measurements are in centimetres.

In the diagram, calculate the area of the shaded portion. All measurements are in centimetres. Mensuration, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

Mensuration

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Answer

We know that,

Area of rectangle = length × breadth

Area of square = side × side.

From figure,

Area of shaded portion = Area of large rectangle - 5 × Area of a small square.

Substituting values we get,

Area of shaded portion = (8 × 6) - (5 × 2 × 2)

= 48 - 20

= 28 cm2.

Hence, area of shaded region = 28 cm2.

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