Question

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 104 in2, what should the dimensions be? Round to the nearest inch.

Answer 1

Choices:
a. 7 in. x 11 in.            c. 8 in. x 13 in.
b. 16 in. x 20 in.          d. 6 in. x 9 in.

Area of a rectangle = length * width

We need to get the factors of 104 in² and identify which is its length and width.

1 x 104 = 104
2 x   52 = 104
4 x   26 = 104
8 x   13 = 104  This is the correct dimension of the front of the box.

Choice C. 8 inches x 13 inches