High School

How many envelopes can be made out of a sheet of paper 72 cm by 48 cm if each envelope requires 18 cm by 12 cm?
a) 8
b) 12
c) 16
d) 24

Answer :

Final answer:

To find the number of envelopes that can be made from a sheet of paper, we divide each dimension of the paper by the corresponding envelope dimension and multiply the results together. From a 72 cm by 48 cm sheet of paper, 16 envelopes of 18 cm by 12 cm can be made.

Explanation:

To solve this problem, we need to determine how many small rectangles of size 18 cm by 12 cm can fit into a larger rectangle of size 72 cm by 48 cm. To do this, we divide the dimensions of the larger sheet by the dimensions of the smaller envelope size.

  • First, let's calculate how many 18 cm widths can fit in the 72 cm side of the paper:
    72 cm ÷ 18 cm = 4
  • Next, calculate how many 12 cm lengths can fit in the 48 cm side of the paper:
    48 cm ÷ 12 cm = 4

By multiplying the number of widths by the number of lengths, we get the total number of envelopes that can be made:

4 widths × 4 lengths = 16 envelopes

Therefore, the answer is c) 16.