Question 1123036
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In your notations, x is the length (although it would be more logical to make it the width . . . )


82 = 2(x-6) + 2x   <<<---=== Correct !


Next steps should be:

41 = x - 6 + x


41 + 6 = 2x


47 = 2x


x = 47/2 = 23.5    <<<---=== it is your LENGTH


Then you should find the WIDTH:  W = 23.5 - 6 = 17.5.
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The problem is just solved and the solution is completed.