A manufacturer wishes to make a cereal box in the shape of a golden rectangle, based on the theory that this shape is the most pleasing to the average customer. If the front of the box has an area of 135 in2, what should the dimensions be? Round to the nearest inch.

A golden rectangle has a longer-to-shorter side ratio of about 1.618. If the shorter side is x, the longer side is about 1.618x, so the area is 1.618x² = 135. This gives sides of about 9.1 inches and 14.8 inches, which round to 9 inches by 15 inches: choice b.

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