Question

A square sheet of side 5 cm is cut out from a rectangular piece of an aluminimum sheet of length 9 cm and breadth 6 cm. What is the area of the aluminium sheet left over?

Answer 1

We have,
Side of the square sheet cut out = 5 cm,
Length of the rectangular sheet = 9 cm and
Breadth of the rectangular sheet = 6 cm

$$\begin{gathered} \mathrm{Now},\mathrm{the}\mathrm{area}\mathrm{of}\mathrm{the}\mathrm{square}\mathrm{sheet}\mathrm{cut}\mathrm{out}=\mathrm{Side}\times \mathrm{Side} \\ =5\times 5 \\ =25{\mathrm{cm}}^2 \\ \mathrm{Also},\mathrm{the}\mathrm{area}\mathrm{of}\mathrm{the}\mathrm{recatngular}\mathrm{sheet}=\mathrm{Length}\times \mathrm{Breadth} \\ =9\times 6 \\ =54{\mathrm{cm}}^2 \\ \mathrm{So},\mathrm{the}\mathrm{area}\mathrm{of}\mathrm{the}\mathrm{sheet}\mathrm{left}\mathrm{over}=\mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{rectangular}\mathrm{sheet}-\mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{square}\mathrm{sheet}\mathrm{cut}\mathrm{out} \\ =54-25 \\ =29{\mathrm{cm}}^2 \end{gathered}$$

Hence, the area of the aluminium sheet left over is 29 cm^2.