Find the area of the region enclosed by the following figures by counting squares:

To estimate the area of a closed plane figure using a square paper, the following conventions are adopted:

1. The area of one complete square is taken as 1 sq. unit.
2. If more than half the square is covered by the region, then count it as 1 sq. unit.
3. If less than half the square is covered by the region, then ignore this portion.
4. If exactly half the square is covered by the region, then take its area as $\dfrac{1}{2}$ sq. unit.

(i) By counting the unit squares enclosed by the figure:

Number of complete covered squares = 9

Area of the region enclosed by the figure = 9 × 1 sq. unit = 9 sq. units

Hence, the area of the region enclosed by figure (i) is 9 sq. units.

(ii) By counting the unit squares enclosed by the figure:

Area of the region enclosed by the figure = 5 sq. units

Hence, the area of the region enclosed by figure (ii) is 5 sq. units.

(iii) By counting the unit squares enclosed by the figure:

Area of the region enclosed by the figure = 10 sq. units

Hence, the area of the region enclosed by figure (iii) is 10 sq. units.

(iv) By counting the unit squares enclosed by the figure:

Area of the region enclosed by the figure = 6 sq. units

Hence, the area of the region enclosed by figure (iv) is 6 sq. units.

(v) By counting the unit squares enclosed by the figure:

Area of the region enclosed by the figure = 4 sq. units

Hence, the area of the region enclosed by figure (v) is 4 sq. units.

(vi) By counting the unit squares enclosed by the figure:

Area of the region enclosed by the figure = 6 sq. units

Hence, the area of the region enclosed by figure (vi) is 6 sq. units.