Question

Find the cost of carpeting a 24 m long and 18 m broad hall with an80 cm wide carpet at the rate of ₹ 8 per metre

Answer 1

The cost of carpeting a 24 m long and 18 m broad hall with an 80 cm wide carpet is Rs 4320.

Step-by-step explanation:

We are given that a hall is 24 m long and 18 m broad with an 80 cm width carpet.

Let the length of the hall = L = 24 m

and the breadth of the hall = B = 18 m

As we know that;

Area of the hall = Length of the hall $\times$ Breadth of the hall

                          = 24 $\times$ 18 = 432 $\text{m}^{2}$.

Now, converting the width of the carpet in metre(m), we get;

         1 cm = $\frac{1}{100} \text{ m}$

      80 cm = $\frac{80}{100} = 0.8 \text{ m}$

Now, the length of the carpet =  $\frac{\text{Area of the hall}}{\text{Width of the carpet}}$

                                                   =  $\frac{432}{0.8}$  =  540 m

Now, the cost of carpeting hall with 1 m of length = Rs 8

So, the cost of carpeting hall with 540 m of length = Rs (540 $\times$ 8)

                                                                                        = Rs 4320