Question

A rectangular path of 60m length and 3m width is covered by square tiles of side
25cm. Find the number of tiles used to make this path?
(a) 2250
(b) 1440
(c) 2880
(d) 1200​

Answer 1

Answer:

Step-by-step explanation:

option c

Answer 2

Given:-

• Length of rectangular path = 60 m
• Breadth of rectangular path = 3 m
• Side of square tiles = 25 cm

To Find:-

• The number of tiles used to make this path.

Solution:-

Here we are given with the dimensions of rectangular path as:-

• Length = 60 m
• Breadth = 3 m

So, let us find the area of the path

We know,

Area of the rectangle = (Length × Breadth) sq.units

Hence,

Area of the path = (60 × 3) = 180 m²

Therefore the area of the rectangular path is 180m²

Now,

We have the dimension of the square tiles.

• Side of the tile = 25 cm

We can see that the unit of the side of the tile is in cm. But the unit of dimensions of the path is in m. Hence we need to convert the unit of tiles into m.

We know,

1 cm = 1/100 m

=> 25 cm = 25/100 = 0.25 m

Now,

The side of the square tile = 0.25 m

We know,

Area of a square = (side)² sq.units

Hence,

Area of the tile = (0.25)² = 0.0625

Now,

We need to find the number of tiles used

Hence, we have to divide the area of the path with the area of the tile.

Therefore,

Number of tiles = Area of path/Area of one tile

= No. of tiles = 180/0.0625

= No. of tiles = 180 × 10000/625

=> No. of tiles = 2880

Therefore, 2880 tiles were used to make the path.

Hence,

Option (c) 2880 is the correct answer ✓

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Formulas used:-

• Area of Rectangle = (Length × Breadth) sq.units
• Area of Square = (Side)² sq.units

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