2√6x
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The answer is, 24x
yes
false!
The side of the rug is 6+x+6 = 12+x inches. The area of the whole rug is (12+x)2 square inches. = 144+24x+x2 square inches. The blue square is x*x = x2 square inches. Which leaves the green band at 144+24x+x2 - x2 = 144+24x sq inches.
144