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?

Show Work

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.