Question

A room is 12.5 m long and 8 m wide. A square carpet of side 8 m is laid on its floor. Find the area of the floor which is not carpeted.

Answer 1

We have,
Length of the room = 12.5 m,
Breadth of the room = 8 m and
Side of the square carpet = 8 m

$$\begin{gathered} \mathrm{The}\mathrm{area}\mathrm{of}\mathrm{the}\mathrm{room}=\mathrm{Length}\times \mathrm{Breadth} \\ =12.5\times 8 \\ =100{\mathrm{m}}^2 \\ \mathrm{Also},\mathrm{the}\mathrm{area}\mathrm{of}\mathrm{the}\mathrm{square}\mathrm{carpet}=\mathrm{Side}\times \mathrm{Side} \\ =8\times 8 \\ =64{\mathrm{m}}^2 \\ \mathrm{Now},\mathrm{the}\mathrm{area}\mathrm{of}\mathrm{the}\mathrm{floor}\mathrm{which}\mathrm{is}\mathrm{not}\mathrm{carpeted}=\mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{room}-\mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{carpet} \\ =100-64 \\ =36{\mathrm{m}}^2 \end{gathered}$$