Question

A figure, on a grid paper of grids $1$ sq mm each, occupies $60$ complete grids, $20$ exactly half grids and $60$ more than half grids. What is the total space occupied by the figure?

• A. 130 sq mm
• B. 150 sq mm
• C. 140 sq mm
• D. 110 sq mm

Answer 1

The correct option is A 130 sq mm

Given,
Each grid occupies $=1$ sq mm

Number of complete grids occupied $=60$

Area occupied by these grids $=60\times 1$ sq.mm

Number of more than half grids occupied = $60$

Area occupied by these grids $=60\times 1$ sq.mm [When grid is covered more than half, we consider its full area]

Number of exactly half grids occupied $=20$

Area occupied by these grids $=20\times \frac{1}{2}$ sq.mm

Therefore, total space occupied by the figure

$=60\times 1+60\times 1+20\times \frac{1}{2}$

$=60+60+10$

$=130$ sq.mm