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# the perimeter of a rectangle is 76cm. the length of the rectangle is 2cm more than double the width. What are the dimensions of the rectangle?

$the \ perimeter \ of \ a \ rectangle \ is \ 76 \ cm \\ \\ width : \ x \\ the \ length \ of \ the \ rectangle \ is \ 2 \ cm \ more \ than \ double \\\\ the \ width : \ 2x + 2 \\ \\ \\ perimeter = 2\cdot length + 2\cdot width \\ \\76 = 2\cdot(2x+2) + 2 \cdot x$ $76 =4x+4 +2 x \\ \\ 6x=76-4 \\ \\ 6x=72 \ \ /:6 \\ \\x=12 \ cm \\ \\ width : \ x =12 \ cm \\ \\ length: \ 2x+2 = 2\cdot 12 + 2 =24+12=36 \\ \\ Answer : \ the \ dimensions \ of \ the \ rectangle \ it : 12 \ cm \ \ x \ \ 36 \ cm$