Question

How much is the space occupied by the figure, if the area of each grid is $2c{m}^2$?.


Assumptions to be considered while counting grids:
$\bullet$ 1 complete grid = 1 full grid
$\bullet$ More than half grid = 1 full grid
$\bullet$ Less than half grid = 0 grid
$\bullet$ Exactly half grid = 0.5 grid

• A. $7c{m}^2$
• B. $8c{m}^2$
• C. $6c{m}^2$
• D. $10c{m}^2$

Answer 1

The correct option is B $8c{m}^2$


In the figure given,

• Number of complete squares covered = $3$
• Number of more than half squares covered = $1$
• Number of less than half squares covered = $2$

By considering the assumptions:

• Number of complete squares covered = $3$
• Number of more than half squares covered = $1$
• Number of less than half squares covered = $0$

Thus, total number of grids covered $=3+1+0=4$

So,
$\Rightarrow$ Total approximate space occupied by the figure = Total number of grids covered $\times$ Area of one square grid.
$\Rightarrow$ 4 × 2 $c{m}^2$ = 8 $c{m}^2$

$\therefore$ Total approximate area of the figure = 8 $c{m}^2$.