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Cumulative Exam — Cumulative exam

Question 2 • Mathematical Models with Applications - MA4072 CR

An artist wishes to make a canvas in the shape of a golden rectangle. He only has enough framing material for a perimeter of 36 in. What would be the dimensions of the canvas?

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

Explanation

A golden rectangle has a longer side about 1.618 times its shorter side. With a perimeter of 36 inches, the sides must add to 18 inches; solving with that ratio gives approximately 6.9 inches by 11.1 inches. The closest choice is 7 × 11 inches, which has a perimeter of 36 inches and is approximately a golden rectangle.

AI-written and checked against the verified answer.

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