Q. 1244.5( 2 Votes )

# Calculate the area of shaded region in Fig. 9.66, where all of the short line segments are at right angles to each other and 1 cm long.

Answer :

As there are 9 short line segments along length and breadth of the large square,

Length of the large square = 9 × 1 = 9 cm

Breadth of the large square = 1 × 9 = 9 cm

There are 41 small squares of 1 cm × 1 cm each.

∴ Area of shaded region = Area of large square – Area of 41 small squares

= 9 × 9 – 41 × 1 × 1 = 81 – 41 = 40 cm^{2}

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