Mark the correct alternative in the following question: How many … - Vidyadip

MCQ

Mark the correct alternative in the following 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
$12$
✓
$16$

✓

Answer

Correct option: D.

$16$

We have,length of the sheet of the paper $=72 \ cm$
breadth of the sheet of the paper $=48 \ cm$
length of the envelope $=18 \ cm$
breadth of the enveolope $=12 \ cm$
The area of the sheet of the paper = length $\times$ breadth
$=(18 \times 12) \ cm ^2$
Now, the number of envelope that can be made out $=\frac{\text{Area of the sheet of the paper}}{\text{Area of the envelope}}$
$=\frac{(72\times48)}{(18\times12)}$
$=4\times4$
$=16$

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