Question

How many envelopes can be made out of a sheet of paper $3m24cm$ by $1m72cm$. If each envelope requires a piece of paper of size $18cm$ by $12cm$?

Answer 1

Length of the sheet of paper $=3m24cm=324cm$
Breadth of the sheet of paper $=1m72cm=172cm$
Area of the sheet $=(Length\times Breadth)$
$=(324\times 172)c{m}^2=55728c{m}^2$

Length of the piece of paper required to make $1$ envelope $=18cm$
Breadth of the piece of paper required to make $1$ envelope $=12cm$

Area of the piece of paper required to make $1$ envelope

$=(18\times 12)c{m}^2$
$=216c{m}^2$
Thus, the number of envelopes that can be made

$=$ Area of the sheet $÷$ area of envelope
$=\frac{55728}{216}=258$ envelopes

Therefore, $258$ envelopes can be made from the given sheet of paper.