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How many pattern block rhombuses would 10 hexagons create?

A) 20
B) 30
C) 40
D) 50

User Jon Artus
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1 Answer

6 votes

Final answer:

In pattern blocks, a hexagon can be divided into six rhombuses, giving us 60 rhombuses for 10 hexagons, which is not in the given options. If a hexagon is divided into two rhombuses, 10 hexagons would create 20 rhombuses, which aligns with option 'A'. There may be an error in the question's phrasing or options. In this case, the correct choice from the given options considering the latter interpretation is 'A) 20'.

Step-by-step explanation:

The question pertains to pattern blocks and how they can be used to represent geometric shapes. When dealing with these blocks, a hexagon can be divided into equilateral triangles, squares, trapezoids, and rhombuses. In pattern block terminology, a hexagon can be composed of six rhombuses. Therefore, if one hexagon is made up of six rhombuses, to find out how many rhombuses would make up 10 hexagons, we need to multiply the number of hexagons by the number of rhombuses per hexagon.

Here is the calculation:
10 hexagons × 6 rhombuses/hexagon = 60 rhombuses.

However, because this is not one of the provided options, there seems to be an error either in the question or the choices given. Assuming the question meant to ask how many rhombuses would be created if every hexagon were divided into two big rhombuses, which is another common pattern block division, then the calculation would be:

10 hexagons × 2 rhombuses/hexagon = 20 rhombuses.

In this case, the correct choice from the given options considering the latter interpretation is 'A) 20'.

User Kregus
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8.8k points