f x = 2 x + 244 The given function f represents the perimeter, in centimeters   cm , of

Question

f x = 2 x + 244 The given function f represents the perimeter, in centimeters &#160; cm , of a rectangle with a length of x &#160; cm and a fixed width. What is the width, in cm , of the rectangle?

Accepted Answer

Choice B is correct. It's given that f x = 2 x + 244 represents the perimeter, in centimeters &#160; ( cm ) , of a rectangle with a length of x cm and a fixed width. If w represents a fixed width, in cm , then the perimeter, in cm , of a rectangle with a length of x cm and a fixed width of w cm can be given by the function f x = 2 x + 2 w . Therefore, 2 x + 2 w = 2 x + 244 . Subtracting 2 x from both sides of this equation yields 2 w = 244 . Dividing both sides of this equation by 2 yields w = 122 . Therefore, the width, in cm , of the rectangle is 122 . Choice A is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.

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