1.

By counting squares, estimate the area of the figure 10.9 b.

Answer» If we see the given figure, we find,
Number of fully-filled square ` = 11`
Number of half-filled square ` = 3`
Number of more than half-filled square ` = 7`
Number of less than half-filled square ` = 1`
If we consider the area of each square is `1` square unit and more than half-filled has `1` sq unit area,
Area of fully-filled square `= 11**1 =11` square unit
Area of more than half-filled square ` = 7**1 = 7` square unit
Now, if the area of each half-filled square is `1/2` square unit and less than half-filled has `0` sq unit area,
Area of half-filled square `= 3**1/2 = 3/2` square unit
Area of less than half-filled square ` = 5**0 = 0` square unit
So, total area ` =11+7+3/2+0 = 19.5` square units


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