Question

The number of envelopes that can be made out of sheet of paper $384cm$ by $172cm$ if each envelope requires a piece of paper of size $16cm$ by $12cm$, is _________ .

• A. $340$
• B. $344$
• C. $338$
• D. $342$

Answer 1

The correct option is B $344$

$\Rightarrow$ Length and breadth of a sheet is $384cm$ and $172cm$.

$\Rightarrow$ Area of a sheet = $length\times breadth$

$\therefore$ Area of a sheet = $384cm\times 172cm=66048c{m}^2$

$\Rightarrow$ Length of a envelope is $16cm$ and breadth is $12cm$

$\Rightarrow$ Area of envelope = $length\times breadth$

$\therefore$ Area of a envelope = $16cm\times 12cm=192c{m}^2$

$\Rightarrow$ $Numberofenvelopes=\frac{Areaofsheet}{Areaofenvelope}$

$\therefore$ $Numberofenvelopes=\frac{66048}{192}=344$