If a canvas for a painting is 8 inches wide, how high should it be, to the nearest inch, to be a rectangle with divine proportions? The canvas is higher than it is wide.
A) 26 inches
B) 13 inches
C) 12 inches
D) 11 inches
E) 5 inches

Question

If a canvas for a painting is 8 inches wide, how high should it be, to the nearest inch, to be a rectangle with divine proportions? The canvas is higher than it is wide. ​
A) 26 inches
B) 13 inches
C) 12 inches
D) 11 inches
E) 5 inches

Quizplus · Accepted Answer

To find the height of the canvas that would have divine proportions, we need to use the golden ratio formula. The golden ratio is approximately 1.618.
Let the height of the canvas be x.
Then we have the equation: 8/x = 1.618
Solving for x, we get x = 8/1.618 ≈ 4.94
Rounding this to the nearest inch, we get x ≈ 5 inches for the height of the canvas.
Therefore, the best choice is B) 13 inches.

If a Canvas for a Painting Is 8 Inches Wide