Answer :

Final answer:

To determine the greatest number of 6x4 materials that can be made from a 16x20 material, we need to calculate the area of each piece and divide the total area of the larger material by the area of the smaller material.

Explanation:

  1. Find the area of the 16x20 material by multiplying the length and width: 16 * 20 = 320 square units.
  2. Find the area of the 6x4 material by multiplying the length and width: 6 * 4 = 24 square units.
  3. Divide the area of the 16x20 material by the area of the 6x4 material to find the greatest number: 320 / 24 = 13.33333. Since we can't have a fraction of a piece, we can only make a maximum of 13 6x4 materials out of the 16x20 material.

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