Question

how many envelops can be made out of a sheet of paper 3m 24cm by 1m 72cm, if each envelops require a piece of paper of size 18cm by 12cm​

Answer 1

Answer:

$\large {\blue{Given:-}}$

$sheet \: \: of \: \: paper \: 3m \: 24cm \: \\ by \: \: 1m \: \: \: 72cm,$

$\large{ \blue{To \: \: Find}}$

$Number \: of \: \: Envelope \: \: \\ can \: be \: made \: of \: size \: \\ 18 \times 12$

$\large{ \blue{Solution:- }}$

$a \: sheet \: of \: paper \: of \: size$

$3 m \: 25 cm \times 1 m \: 72 cm \: \\ 3 m \: 24 cm \: = \: 324 cm \: \\ 1 m \: 72 cm \: = \: 172 cm$

$\red{Area } \: = 324 \times 172$

$Envelop \: size=18 \times 12 cm$

$\green{Using \: direct \: area \: formula} = 324 \times 172 \div 18 \times 12$

underline

$12=258 \: \: envelopes$

$But \: actually \: 324 \div 18 = \ 18 \\ 172 \div 12 = 14.33 = 14 (as \: has \\ \: to \: be \: integer)$

$Hence \: \:elopes = 18 \times 14 = 252 \: envelopes$

$\therefore252 \: envalopes$