Question 401147
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The perimeter of a rectangle is given by:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ P\ =\ 2l\ +\ 2w]


Substitute the two binomial expressions for length and width:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ P(x)\ =\ 2(3x\ +\ 9)\ +\ 2(2x\ -\ 5)]


Simplify so that you keep a tidy kitchen:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ P(x)\ =\ 10x\ +\ 8]


For the second part of your problem, plug in a 4 and do the arithmetic.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ P(4)\ =\ 10(4)\ +\ 8]


Remembering to express your answer in the specified units, namely feet in this case.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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