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 :

170 envelopes can be made

Step-by-step explanation :

To find,

• How many envelopes

Solution,

Given that,

• Length of the sheet of paper = 3m 40 cm long
• Breadth of the sheet = 1m 50cm
• Each size of the envelope= 25m long, 12m wide

Therefore,

Converting, 3m 40 cm to cm

» 3.40 × 100 = 340 ..[ 1m = 100 cm ]

» 1.50 × 100 = 150 ..[ 1m = 100 cm ]

Area of sheet,

» ( Length × Breadth )

» 340 × 150

» 51000

Area of an envelope,

» ( Length × Breadth )

» 25 × 12

» 300

Therefore, number of envelopes,

Number of envelopes = Area of sheet / Area of one size of envelope

» 51000 / 300

» 170 ★

Hence, number of envelopes is 170

Answer 2

Given :  a sheet of paper of size 3 m 40 cm × 1 m 50 cm

To Find : Number of envelopes can be made of  size 25 cm × 12 cm

Solution:

a sheet of paper of size 3 m 40 cm × 1 m 50 cm

3 m 40 cm = 340 cm

1 m 50 cm = 150 cm

Area = 340 x 150

Envelop size = 25 * 12  cm

Using direct area formula  =   340 x 150 / 25 * 12   =  170 envelopes

But actually

150 / 25 = 6

340 / 12 = 28.33 = 28  ( as has to be integer )

Hence envelopes = 28 * 6 = 168  envelopes

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