Question

The number of square tiles of side $50cm$ which can be paved on a rectangular floor of $2m\times 1.5m$is :

• A. $12$
• B. $60$
• C. $40$
• D. $24$

Answer 1

The correct option is A

$12$

Converting $m$ into $cm$

$$\begin{gathered} 1m=100cm \\ \Rightarrow 2m=200cm \\ \Rightarrow 1.5m=150cm \end{gathered}$$

Calculating area of square tile

Area of square $={\left(\mathrm{side}\right)}^2$

$={(50)}^2=2500c{m}^2$

Calculating area of rectangle floor

Area of rectangle $=$length $\times$breadth

$=200\times 150=30000c{m}^2$

Calculating number of tiles required

Number of tiles $=\frac{\mathrm{area}\mathrm{of}\mathrm{floor}}{\mathrm{area}\mathrm{of}\mathrm{side}}$

$=\frac{30000}{2500}=12$

Hence , $12$ tiles can be paved on rectangular floor.