Suppose that an architect is constructing a building with a rectangular front that is to be 60
feet high. About how long should the front be if he wants the appliance of a golden
rectangle? (Assume w = 60 ft and that you are looking for l. ) Round to 2 decimal places.
do you know the golden ratio?
unknown
To determine the length of the front of the building if the architect wants the application of a golden rectangle, we can use the ratio of the golden rectangle, which is approximately 1.618.
The golden rectangle is a rectangle with a length-to-width ratio of 1.618:1. This ratio is also known as the golden ratio or the divine proportion.
To find the length (l), we can multiply the width (w) by the golden ratio:
l = w * 1.618
In this case, the width (w) is given as 60 feet. Let's substitute this value into the equation and solve for l:
l = 60 * 1.618
Calculating this, we find:
l ≈ 97.08
Therefore, the front of the building should be approximately 97.08 feet long to have the application of a golden rectangle.