A painter is constructing a rectangular canvas for her next masterpiece. She plans to construct the canvas so that the ratio of the larger side to the smaller side is equivalent to the golden ratio. If the smaller side is 416 \mathrm{~cm} in length, then what is the length of the larger side in centimeters? Round the answer to the nearest whole number.
A) 257 cm
B) 416 cm
C) 673 cm
D) 852 cm
E) None of the above.

Question

A painter is constructing a rectangular canvas for her next masterpiece. She plans to construct the canvas so that the ratio of the larger side to the smaller side is equivalent to the golden ratio. If the smaller side is  416 \mathrm{~cm}  in length, then what is the length of the larger side in centimeters? Round the answer to the nearest whole number.
A)  257 cm
B)  416  cm
C)  673  cm
D)  852  cm
E) None of the above.

Quizplus · Accepted Answer

The golden ratio ($\phi$) is approximately 1.618. To find the length of the larger side, multiply the length of the smaller side by the golden ratio: $416 \times 1.618 \approx 673$. Therefore, the length of the larger side is approximately 673 cm, rounded to the nearest whole number.

A Painter Is Constructing a Rectangular Canvas for Her Next