Question

How many tiles with dimensions 5cm and 12cm will be needed to fit in a region whose length and breadth are 150cm and 144cm.

Answer 1

given,
Dimension of tiles = 5 × 12 square centimetre.
area of tiles = 60 square centimetre
Length of region = 150 cm
breadth of region = 144 cm
area of region = 150×144 square centimetre
=> 21600 square centimetre.

Number of tiles a needed = 21600/150
=>144
Hence, 144 tiles are required.

Answer 2

For tile:

length = 12 cm, breadth = 5 cm

So, Area of tile = 5 x 12 = 60 cm²

For region:

length = 144 cm, breadth = 100 cm

So, Area of region = 144 x 100 = 14400 cm²

Now, Number of tiles needed= Area of region/Area of one tile.

∴Number of tiles needed=14400/60= 1440/6=240

So, 240 tiles will be needed