Question

The total cost of flooring a room at $Rs.85$ per $m^2$ is $Rs.5100$. If the length of the room is $8m$, then find its breadth.

Answer 1

As, the total cost of flooring $=Rs.5100$

The rate of flooring $=Rs.85$ per $m^2$

So, the area of the floor $=$ Total cost of the flooring $÷$ Rate of the flooring

$=\frac{Rs.5100}{Rs.85\text{per}{m}^2}$

$=60m^2$

$\Rightarrow$ Area of the floor $=60m^2$

$\Rightarrow$ Length $\times$ Breadth $=60m^2$

It is given that, Length $=8m$

$\Rightarrow 8m\times$ Breadth $=60m^2$

$\Rightarrow$ Breadth $=\frac{60m^2}{8m}$

$\Rightarrow$ Breadth $=7.5m$

Hence, Breadth of the floor $=7.5m$.