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 cm2.
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
