Question

Floor tiles are 25cm squares.how many tiles will be needed for a rectangular lawn 12m long and 10m wide. Find the cost at the rate of rupees 8 per tile solution of this sum

Answer 1

$\textbf {Theory}$ :

We are given that certain tiles have their sides as 25 cms. We need to find how many tiles will be needed to cover a rectangular lawn whose dimensions are 12m × 10m. Further, we are asked to find the cost of the tiles at the rare of ₹ 8 per tile.


$\textbf {Solution}$ :

Firstly, let the number of tiles be n.

Then,

Area(rectangular lawn) = Area(n number of tiles)

$l \times b = n \times {a}^{2}$

We can see by the given data that the units are not uniform. Thus, we will change 25 cm into m. So, the length of the side is 0.25 m.

$12 \times 10 = n \times 0.25 \times 0.25 \\ \\ 12 \times 10 = n \times \frac{25}{100} \times \frac{25}{100} \\ \\ n = 12 \times 10 \times \frac{100}{25} \times \frac{100}{25} \\ \\ n = 1920$

Thus, the number of tiles is 1920.

Further, we are asked to find the cost of the tiles. The cost is @ ₹8/tile.

So, cost = 8n

Cost = 8 × 1920

Cost = ₹ 15,360

Thus, the cost of the tiles is ₹15,360.

Answer 2

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