Question

A room is $13m$ long and $9m$ broad. Find the cost of carpeting the room with a carpet $75cm$ broad at the rate of $Rs.65$ per metre.

Answer 1

Length of the room $=13m$
Breadth of the room $=9m$
Area of the room $=length\times breadth=(13\times 9)m^2=117m^2$
Let length of required carpet be $xm.$
Breadth of the carpet $=75cm=0.75m$ (100 cm = 1 m)

Area of the carpet $=(0.75\times x)m^2=0.75x{m}^2$

For carpeting the room:
Area covered by the carpet = Area of the room
$\Rightarrow 0.75x=117$

$\Rightarrow x=\frac{117}{0.75}$

$\Rightarrow x=117\times \frac{4}{3}$

$\Rightarrow x=156m$
So, the length of the carpet is $156m.$
Cost of $1m$ carpet $=Rs.65$
Cost $156m$ carpet $=Rs.(156\times 65)=Rs.10140$