Question

A rectangular room is $9m$ long and $6m$ wide. Find the cost of covering the floor with carpet $2m$ wide at $₹35permetre$.

$\left[\mathit{H}\mathit{i}\mathit{n}\mathit{t}\mathbf{.}Lengthofcarpet=\frac{areaofroom}{widthofcarpet}\right]$

Answer 1

STEP 1 : Finding the area of the room

Length of rectangular room$=9m$

Width of rectangular room$=6m$

Area of the rectangular room$=length\times breadth$

Area of the rectangular room$=9\times 6=54m^2$

STEP 2 : Finding the length of carpet required to cover the floor

Length of the carpet $=\frac{areaofroom}{widthofcarpet}$

Length of the carpet $=\frac{54}{2}=27m$

STEP 3 : Finding the cost of covering the floor with carpet

Cost of covering the floor with carpet $2m$ wide $=Lengthofcarpet\times Ratepermetre$

Cost of covering the floor with carpet $2m$ wide $=27\times 35=₹945$

Hence, the cost of covering the floor with carpet $2m$ wide is $₹945$.