The following figures are drawn on a sheet of squared paper. Count the number of squares enclosed by each figure and find its area, taking the area of each square as 1 cm^{2}.

Q1:

Solution:

The figure contains 12 complete squares.

Area of 1 small square = 1 sq. cm

Therefore, area of the figure = Number of complete squares × Area of the squares

= (12 × 1) sq cm

= 12 sq cm

Q2:

Solution:

The figure contains 18 complete squares.

Area of 1 small square = 1 sq. cm

Therefore, area of the figure = Number of complete squares × Area of the squares

= (18 × 1) sq cm

= 18 sq cm

Q3:

Solution:

The figure contains 14 complete squares and 1 half square.

Area of 1 small square = 1 sq. cm

Therefore, area of the figure = Number of complete squares × Area of the squares

= \( left [ left ( 14 times 1 right ) + left ( 1 times frac{1} {2} right ) right ]; sq ; cm \)

= \( 14frac {1} {2} sq ; cm \)

Q4:

Solution:

The figure contains 6 complete squares and 4 half squares.

Area of 1 small square = 1 sq. cm

Therefore, area of the figure = Number of complete squares × Area of the squares

= \( left [ left ( 6 times 1 right ) + left ( 4 times frac{1} {2} right ) right ]; sq ; cm \)

= 8 sq cm

Q5.

Solution:

The figure contains 9 complete squares and 6 half squares.

Area of 1 small square = 1 sq. cm

Therefore, area of the figure = Number of complete squares × Area of the squares

= \( left [ left ( 9 times 1 right ) + left ( 6 times frac{1} {2} right ) right ]; sq ; cm \)

= 12 sq cm

Q6.

Solution:

The figure contains 16 complete squares.

Area of 1 small square = 1 sq. cm

Therefore, area of the figure = Number of complete squares × Area of the squares

= (16 × 1) sq cm

= 16 sq cm

Q7.

Solution:

In the given figure, there are 4 complete squares, 8 more than half parts of squares and 4 less than half parts of squares.

We neglect the less than half parts and consider each more than half part of the square as a complete square.

Therefore, Area = (4 + 8) sq cm = 12 sq cm

Q8.

Solution:

In the given figure, there are 9 complete squares, 5 more than half parts of squares and 7 less than half parts of squares.

We neglect the less than half parts and consider each more than half part of the square as a complete square.

Therefore, Area = (9 + 5) sq cm = 14 sq cm

Q9.

Solution:

The figure contains 14 complete squares and 4 half squares.

Area of 1 small square = 1 sq. cm

Therefore, area of the figure = Number of squares × Area of one squares

= \( left [ left ( 14 times 1 right ) + left ( 4 times frac{1}{2} right ) right ]; sq ; cm \)

= 16 sq cm