Question

Q3. The number of envelopes of size 12 cm × 8 cm that can be made from a rectangular
sheet of paper measuring 64 cm × 24 cm is:
16 (b) 8 (c) 4 (d) none of these​

Answer 1

Given -

Size of envelope -

• 12 cm × 8 cm

Measures of a rectangular sheet of paper-

• 64 cm × 24 cm

To find -

• No. of envelopes can be made from a rectangular sheet.

How to solve?

• Firstly, find the area of the envelope.

• Now, find the area of the rectangular sheet.

• Now to find the no. of sheets divide the area of rectangular sheets by area of envelope.

Solution -

Formula to find area -

$\large{\boxed{\sf{\red{Area = length \times breadth}}}}$

Area of envelope -

• ↬ (12 × 8)$\sf{cm^2}$
• ↬ 96 $\sf{cm^2}$

Area of rectangular sheet -

• ↬ (64 × 24)$\sf{cm^2}$
• ↬ 1536 $\sf{cm^2}$

No. of sheets can be made =

${\sf{\dfrac{area \: of \: rectangular \: of \: sheet}{area \: of \: envelope}}}$

Substitute the given values.

= $\sf{\dfrac{1536}{96}}$

= 16

• Answer ↬ 16