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 cm2


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