a tabletop is shaped like a golden rectandle its lenth is 5 ft whats the able width
In the golden rectangle the ratio of
length : width = (1+√5) : 2 or appr 1.618
5/w = (1+√5)/2
w = 10/(1+√5) = appr 3.09
check:
5/3.09 = appr 1.6181.. good enough
To find the width of the tabletop, we need to understand what a golden rectangle is. A golden rectangle is a rectangle whose length to width ratio is equal to the golden ratio, approximately 1.618.
In this case, we are given the length of the tabletop as 5 feet. To find the width, we can set up an equation using the golden ratio:
width / length = golden ratio
Let's solve for the width:
width / 5 = 1.618
To isolate the width, we multiply both sides of the equation by 5:
width = 1.618 * 5
Calculating the value:
width = 8.09 feet
Therefore, the width of the tabletop is approximately 8.09 feet.