Which standard photo size is closest to the golden ratio,
1
+
√
5
2
?
A.
5-by-3 inches
B.
7-by-5 inches
C.
10-by-8 inches
D.
17-by-11 inches
D. 17-by-11 inches. The ratio of 17 to 11 is approximately 1.545, which is close to the golden ratio of 1.618.
To determine which standard photo size is closest to the golden ratio (√5 + 1)/2, we can compare the aspect ratios of the given options to the golden ratio.
The aspect ratio of a photo is the ratio of its width to its height.
Option A: 5-by-3 inches
Aspect ratio = 5/3 ≈ 1.6667
Option B: 7-by-5 inches
Aspect ratio = 7/5 = 1.4
Option C: 10-by-8 inches
Aspect ratio = 10/8 = 1.25
Option D: 17-by-11 inches
Aspect ratio = 17/11 ≈ 1.5455
The aspect ratio of the golden ratio (√5 + 1)/2 is approximately 1.618.
Looking at the given options, option D with a 17-by-11 inch size has an aspect ratio that is closest to the golden ratio.
To determine which standard photo size is closest to the golden ratio (1 + √5) / 2, we need to calculate the aspect ratio of each option and compare it to the golden ratio.
The aspect ratio of a photo is obtained by dividing the longer side of the photo by the shorter side. In this case, we can calculate the aspect ratio for each option and compare it to the golden ratio of 1.618.
Option A: 5-by-3 inches
Aspect ratio = 5/3 ≈ 1.67
Option B: 7-by-5 inches
Aspect ratio = 7/5 = 1.4
Option C: 10-by-8 inches
Aspect ratio = 10/8 = 1.25
Option D: 17-by-11 inches
Aspect ratio = 17/11 ≈ 1.55
Based on the calculated aspect ratios, the option that is closest to the golden ratio is Option D, 17-by-11 inches.