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Calculate the area of shaded region in the following figure, where all of the short line segments are at right angles to each other and 1 cm long.

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Question

Calculate the area of shaded region in the following figure, where all of the short line segments are at right angles to each other and 1 cm long.

Sum
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Solution


Length of the larger rectangle = 1 ×  9 cm = 9 cm

Breadth of the larger rectangle = 1 × 9 cm = 9 cm

∴ Area of shaded region = Area of larger square – Area of 41 small identical square

= 9 × 9 – 41 × 1 × 1

= 81 – 41

= 40 cm2

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Chapter 9: Perimeter and Area - Exercise [Page 296]

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NCERT Exemplar Mathematics Exemplar Class 7
Chapter 9 Perimeter and Area
Exercise | Q 124. | Page 296

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