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The tile pattern shown was used in Pompeii for paving. If the diagonals of each rhombus are 2 inches & 3 inches, what area makes up each cube in the pattern?
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The tile pattern shown was used in Pompeii for paving. If the diagonals of each rhombus are 2 inches & 3 inches, what area makes up each cube in the pattern?

User Andrewb
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1 Answer

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The tile in Pompeii shows that there are 3 shapes of rhombus in one cube.
A ( rhombus ) = d1 * d2 / 2
d1 = 2 in, d2 = 3 in.
A ( rhombus ) = 2 * 3 / 2 = 3 in²
Finally: 3 * 3 = 9 in²
Answer: Area of each cube in the pattern is 9 in².
User FRIDDAY
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