Question

How many tiles with dimensions 5 cm and 12 cm will be needed to fit a region whose length and breadth are respectively:

(i) 100 cm and 144 cm
(ii) 70 cm and 36 cm

Answer 1

(i) Dimension of the tile = 5 cm × 12 cm
Dimension of the region = 100 cm × 144 cm
Area of the tile = 5 cm × 12 cm = 60 cm²
Area of the region = 100 cm × 144 cm = 14,400 cm²
Number of tiles required to cover the region = $\frac{Areaoftheregion}{Areaofonetile}$ = $\frac{14400}{60}$ = 240 tiles
(ii) Dimension of the tile = 5 cm × 12 cm
Dimension of the region = 70 cm × 36 cm
Area of the tile = 5 cm × 12 cm = 60 cm²
Area of the region = 70 cm × 36 cm = 2,520 cm²
Number of tiles required to cover the region = $\frac{Areaoftheregion}{Areaofonetile}$ = $\frac{2520}{60}$ = 42 tiles