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Mathematics

How many envelopes of size 25 cm × 15 cm can be made from a rectangular sheet of size 4 m × 1.2 m?

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Answer

Given:

Length of sheet = 4 m = 400 cm

Breadth of sheet = 1.2 m = 120 cm

Size of each envelope = 25 cm × 15 cm

Area of the rectangular sheet = length × breadth

= 400 × 120 sq. cm

= 48000 sq. cm

To make one envelope, paper of double the size of the envelope is needed (because an envelope is formed by folding paper to make front and back).

Paper needed for one envelope = 2 × (25 × 15) sq. cm

= 2 × 375 sq. cm

= 750 sq. cm

Number of envelopes that can be made = Area of sheetPaper needed for one envelope\dfrac{\text{Area of sheet}}{\text{Paper needed for one envelope}}

= 48000750\dfrac{48000}{750}

= 64

Hence, 64 envelopes can be made from the rectangular sheet.

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