What is the maximum number of tiles whose length and breadth are 10 cm and 8 cm respectively will be required to fit in a rectangular region whose length and breadth are respectively 352 cm and 100 cm?

Correct option is D

Given:

Tile dimensions: 10 cm (length) × 8 cm (breadth)

Floor dimensions: 352 cm (length) × 100 cm (breadth)

Formula Used:

Number of tiles = $$\frac{\text{Area of floor}}{\text{Area of one tile}}$$​​

Solution:

Floor Area = $$352 \times 100 = 35200 \, \text{cm}^2$$​​

Tile Area = $$10 \times 8 = 80 \, \text{cm}^2$$​​

Number of tiles = $$\frac{35200}{80} = 440$$​​