Question

The following figures are drawn on a squared paper. Count the number of squares enclosed by each figure and find its area, taking the area of each squares as 1 cm². (Fig.20.25).

Answer 1

(i) There are 16 complete squares in the given shape.
$\because$ Area of one square = 1 cm²
$\therefore$ Area of this shape = 16 $\times$ 1 = 16 cm²
(ii) There are 36 complete squares in the given shape.
$\because$ Area of one square = 1 cm²
$\therefore$ Area of 36 squares = 36 $\times$1 = 36 cm²
(iii) There are 15 complete and 6 half squares in the given shape.
$\because$ Area of one square = 1 cm²
$\therefore$ Area of this shape = (15 + 6 $\times$$\frac{1}{2}$) = 18 cm²
(iv) There are 20 complete and 8 half squares in the given shape.
$\because$ Area of one square = 1 cm²
$\therefore$ Area of this shape = (20 + 8$\times$ $\frac{1}{2}$) = 24 cm²
(v) There are 13 complete squares, 8 more than half squares and 7 less than half squares in the given shape.
$\because$ Area of one square = 1 cm²
$\therefore$ Area of this shape = (13 + 8$\times$1) = 21 cm²

(vi) There are 8 complete squares, 6 more than half squares and 4 less than half squares in the given shape.
$\because$ Area of one square = 1 cm²
$\therefore$ Area of this shape = (8 + 6 $\times$ 1) = 14 cm²