1
QuizMultiple Choice

Topic Test

Question 1 • Mathematical Models with Applications - MA4072 CR

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
A
7 x 11
B
16 x 20
C
8 x 13
D
6 x 9

Explanation

In a golden rectangle, the longer side is about 1.618 times the shorter side. If the shorter side is x, then the area is 1.618x² = 104, giving x ≈ 8 inches and a longer side of about 1.618 × 8 ≈ 13 inches. So the dimensions should be 8 × 13 inches, choice C.

AI-written and checked against the verified answer.

Next