Question

How many envelopes can be made out of a sheet of paper 72 cm by 48 cm, if each envelope requires a paper of size 18 cm by 12 cm?
(a) 4
(b) 8
(c) 12
(d) 16

Answer 1

(d) 16

Length of the sheet of paper = 72 cm
Breadth of the sheet of paper = 48 cm
Area of the sheet = (Length × Breadth)
⇒ ( 72 × 48 ) cm² = 3456 cm²

Length of the piece of paper required to make 1 envelope = 18 cm
Breadth of the piece of paper required to make 1 envelope = 12 cm
Area of the piece of paper required to make 1 envelope = (18 × 12) cm²
= 216 cm²

$$\begin{gathered} \mathrm{No}.\mathrm{of}\mathrm{envelopes}\mathrm{that}\mathrm{can}\mathrm{be}\mathrm{made}=\frac{\mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{sheet}}{\mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{piece}\mathrm{of}\mathrm{paper}\mathrm{required}\mathrm{to}\mathrm{make}1\mathrm{envelope}} \\ \Rightarrow \mathrm{No}.\mathrm{of}\mathrm{envelopes}\mathrm{th}a\mathrm{t}\mathrm{can}\mathrm{be}\mathrm{made}=\frac{3456}{216}=16\mathrm{envelopes} \end{gathered}$$