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Answer:
[tex]perimeter = 2(length + width) \\ = 2((2 {x}^{2} + 9x - 7) + ( {x}^{2} - 9) )\\ = 2(2 {x}^{2} + 9x - 16) \\ = (4 {x}^{2} + 18x - 32) \: units[/tex]