The perimeter of a rectangle is at most 200 feet. the length of the rectangle is five less than four times the width. what are the maximum dimensions of the rectangle?

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Change the problem statements into equations or inequalities as appropriate.
"The perimeter of a rectangle is at most 200 feet. The length of the rectangle is five less than four times the width. What are the maximum dimensions of the rectangle?"  

P = Perimeter (is less than or equal to) 200 feet)

length = 4(width) - 5

Your job is to figure out the maximum length and the width of this rectangle.

If P = Perimeter (is less than or equal to) 200 feet), then this is a constraint on the length and width of the rectangle.

2(length) + 2(width) (is less than or equal to) 200 feet)

2(4(width) - 5) + 2(width) (is less than or equal to) 200 feet

Let the variable "w" represent the width.  Divide both sides of this inequality by 2.  Simplify, to obtain an inequality for w.  

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