The supply paper comes in sheets that are 130cm by 220cm. How many envelopes can the company make from each sheet of paper?

  16

Step-by-step explanation:

The area of one envelope can be considered to be the sum of the areas of ...

for a total of ...

  (210 +640 +600) cm^2 = 1450 cm^2

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The area of one sheet of paper is ...

  A = LW = (130 cm)(220 cm) = 28600 cm^2

The ratio of paper area to envelope area is ...

  28600/1450 ≈ 19.7

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Considered as a 32 cm by 54 cm rectangle, the area of the envelope is ...

  A = (32 cm)(54 cm) = 1728 cm^2

and the ratio of paper area to envelope area is ...

  28600/1728 ≈ 16.6

That is, considering space utilization, the best that can be done is to cut 16 envelopes from each sheet of paper.

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