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 larger side is 416 cm in length, then what is the length of the smaller 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 larger side is  416 cm  in length, then what is the length of the smaller 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 is approximately 1.618. If the larger side is 416 cm, the smaller side is 416 / 1.618 ≈ 257 cm.

A Painter Is Constructing a Rectangular Canvas for Her Next