Question

13. How many envelopes can be made out of a sheet of paper of size 3 m 40 cm x 1 m 50 cm if
each envelope is of size 25 cm x 12 cm?​

Answer 1

Answer:

Given:

▪︎Size of sheet of paper = 3m 40cm × 1m 50cm

▪︎Size of envelope = 25cm × 12cm

To Find:

▪︎Number of envelope can be made through the sheet of paper

Solution:

➡️Area of sheet of paper

= length × breadth

= 340 × 150

= 51000 cm²

➡️Area of envelope

= length × breadth

= 25 ×12

= 300 cm²

➡️Number of envelope

= Area of sheet of paper ÷ Area of envelope

= 51000 ÷ 300

= 170 envelopes.

Answer 2

Correct Question -

How many envelopes can be made out of a sheet of paper of size 340cm x 150 cm if each envelope is of size 25cm x 12 cm?

Given -

• Length of sheet = 340cm
• Breadth of sheet = 150cm

• Length of envelope = 25cm
• Breadth of envelope = 12cm

To find -

• Envelopes that can be made out of that sheet.

Formula used -

• Area of rectangle = L × B

Solution -

Here, as we can see that the sheet is in the shape of rectangle, and we need to find the area of the sheet, so we will apply the formula of area of rectangle.

Area of sheet = L × B

where,

L = Length

B = Breadth

On substituting the values -

Area = L × B

$\longmapsto$ Area = 340cm × 150cm

$\longmapsto$ Area = 51000cm

Similarly -

The envelopes, are also in the shape of rectangle, so, here also we will apply the formula of area of rectangle.

Area of envelope = L × B

Where,

L = Length

B = Breadth

On substituting the values -

Area = L × B

$\longmapsto$ Area = 25cm × 12cm

$\longmapsto$ Area = 300cm

Now -

To find the number of envelopes that can be made out of that sheet, we will divide the area of sheet by the area of envelope, then we will get the number of envelopes.

No: of envelopes = $\sf\dfrac{Area\:of\:sheet}{Area\:of\:envelope}$

$\longmapsto$ No: of envelopes = $\sf\cancel{\dfrac{51000}{300}}$

$\longmapsto$ No: of envelopes = 170

$\therefore$ 170 envelopes can be made out of the sheet.

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