John has 48 square centimeter tiles he wants to use to create a mosaic. He wants the mosaic to be rectangular with a length that is 2 centimeters longer than the width.

The area of a rectangle is length times width. If the width is w centimeters, then the length is w + 2 centimeters, so the area equation is w(w + 2) = 48. Therefore, the correct choice is B, w(w + 2) = 48.

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