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.

which equation could john solve to find w, the greatest width in centimeters he can use for the mosaic?

I found the missing choices. These are:
w(w – 2) = 48
w(w + 2) = 48
2w(w – 2) = 48
2w(w + 2) = 48

The mosaic to be formed is rectangular in shape. This is deduced from the use of the terms width and length.

Area of a rectangle = length * width
length is longer than the width by 2, so length = w+2

Area of a rectangle = (w+2) * w

The correct equation is: w(w + 2) = 48