Question

A street lane is to be paved with tiles of length 12cm and breath 10cm if the length of the lane is 24 cm and breadth is 12cm find the no. Of tiles

Answer 1

$\underline{\mathfrak{\huge{Question:}}}$

A street lane is to be paved with tiles of length 12 cm and breath 10 cm. If the length of the lane is 24 cm and breadth is 12 cm, then find the number of tiles.

$\underline{\mathfrak{\huge{Answer:}}}$

To find the number of tiles, what we need to do is, find the area of the lane and the tile, and then divide them together. The formula will somewhat, look like :-

Number of tiles = $\tt{\frac{Area\:of\:the\:lane}{Area\:of\:a\:tile}}$

Area of the lane = l × b

=》 Area = 24 cm × 12 cm

=》 Area = 288 $cm^{2}$

Area of the tile = l × b

=》 Area = 12 cm × 10 cm

=》 Area = 120 $cm^{2}$


Number of tiles = $\frac{288}{120}$

=》 Number of tiles = 2.4 tiles

Since the tiles can't be in decimals, we can say that :-

$\tt{2\:tiles\:are\:needed}$

Answer 2

A street lane is to be paved with tiles of length 12cm and breath 10cm if the length of the lane is 24 cm and breadth is 12cm. Find the no. of tiles.

Step by step explanation :

Length of the tile = 12 cm

Breadth of the tile = 10 cm

Length of the lane = 24 cm

Breadth of the lane = 12 cm

We have to find the number of tiles to be paved with.

Let the number of tiles be 'x'

We can say that,

Area of the lane = Area of Tile × 'x'

That is,

$\tt{\frac{Area \: \: of \: \: the \: \: lane}{ Area \: \: of \: \: Tile} = x}$

$\tt{ \frac{Length \: \times \: Breadth ( \: Of \: lane ) }{ Length \: \times \: Breadth \: (of \: tile) }} = x$

$\tt{\frac{24 \times 12}{12 \times 10} = x}$

$\tt{\frac{24}{10} = x}$

2.4 = x

Thus, Number of tiles cannot be expressed in decimals.

Thus, We can say that Number of tiles is approximately equal to 2.

So, The number of tiles are 2.