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Mensuration — MATHS STD 6 — Question

Gujarat BoardEnglish MediumSTD 6MATHSMensuration1 Mark
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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