A garden is 24 m long and 14 m wide. There is a path 1 m wide outside the garden along its sides. If the path is to be constructed with square marble tiles 20 cm × 20 cm, the number of tiles required to cover the path is :

A. 200

B. 1800

C. 2000

D. 2150

Answer: Option C

Solution(By Examveda Team)

Area of the path :
$$\eqalign{ & = \left[ {\left( {26 \times 16} \right) - \left( {24 \times 14} \right)} \right]{m^2} \cr & = \left( {416 - 336} \right){m^2} \cr & = 80\,{m^2} \cr} $$
∴ Number of tiles required to cover the path :
$$\eqalign{ & = \frac{{{\text{Area of path}}}}{{{\text{Area of each tile}}}} \cr & = \left( {\frac{{80 \times 100 \times 100}}{{20 \times 20}}} \right) \cr & = 2000 \cr} $$