Question

A hall of length 20 m and breadth 15 m is tiled by square tiles of side 25 cm. Find the number
square tiles needed to cover this floor area.

Answer 1

Answer:

Total area to be paved = 20 * 15 =300 m^2

Total area = 300 * 100 * 100 cm^2

Area of tile = 15 * 15 = 225 cm^2

Hence no.of tiles required =( 300 * 100 *100)/225 = 40000/3 = 13333.3

Answer 2

Given:

✰ A hall is tiled by square tiles.

✰ Length of a hall = 20 m

✰ Breadth of a hall = 15 m

✰ Length of each side of a square tile = 25 cm

To find:

✠ The number square tiles needed to cover this floor area.

Solution:

Let's understand the concept first! First we will find out the area of a hall, which is rectangle by using formula of rectangle. Then we will find the area of each square tile, as it is a square, so we will use formula of area of square to calculate its area. After that we will divide the area of hall by the area of square tiles to find out the number of square tiles needed to cover the floor area.

Let's find out...✧

✭ Area of rectangle = Length × breadth ✭

Putting the values in the formula, we have:

➛ Area of a hall = 20 × 15

➛ Area of a hall = 300 m²

➛ Length of each side of a square tile = 25 cm

N.B - The units used in calculations should be of same nature, so either it should be in centimetre or metre.

➛ 1 cm = 1/100 m

➛ 25 cm = 25/100

➛ 0.25 m

✭ Area of square = ( side )² ✭

➛ Area of a square tile = ( 0.25 )²

➛ Area of a square tile = 0.25 × 0.25

➛ Area of a square tile = 0.0625 m²

Now,

➤ Number of tiles = Area of a hall/Area of a square tile

➤ Number of tiles = 300/0.0625

➤ Number of tiles = (300 × 10000)/625

➤ Number of tiles = 3000000/625

➤ Number of tiles = 4800

∴ The number square tiles needed to cover this floor area = 4800 tiles

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