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24 April, 02:19

A square red rug has a yellow square center. The side length of the yellow square is x inches. The width of the red band that surrounds the yellow square is 2 in. What is the area of the red band?

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  1. 24 April, 03:33
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    8 (x + 2) in²

    Step-by-step explanation:

    Entire rug:

    Side = (x+2+2) = x+4

    Area = (x + 4) ² = x² + 8x + 16

    Yellow area = x²

    Total - yellow = red

    x² + 8x + 16 - x² = 8x + 16

    Red area = 8x + 16 or 8 (x + 2) in²
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