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22 February, 01:51

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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  1. 22 February, 05:31
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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.
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