SOLUTION: Which is closer to a golden rectangle, a 4 1/2 x 7 1/4 ft window or a 4 ft x 6 1/2 ft window? Use 1.618034 for the golden ratio.

Algebra.Com
Question 256464: Which is closer to a golden rectangle, a 4 1/2 x 7 1/4 ft window or a 4 ft x 6 1/2 ft window? Use 1.618034 for the golden ratio.
Found 2 solutions by drk, solver91311:
Answer by drk(1908)   (Show Source): You can put this solution on YOUR website!
The golden ratio is a fraction that is (-1 + or - sqrt(5))/2 ~ 1.618033
7.25/ 4.5 = 1.6111
1.618033 - 1.6111 ~ 0.006922
6.5 / 4 = 1.625
1.625 - 1.618033 ~ 0.006966
--
the 4 and 1/2 x 7 and 1/4 ft. is slightly closer

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Which is smaller:



or




John


RELATED QUESTIONS

The perimeter of the triangular window shown in the illustration is 48 feet. How long is... (answered by Alan3354)
Pat needs to paint an 8 ft x 36 ft wall with a window opening of 3 ft x 4 ft. What is the (answered by Fombitz)
What is the perimeter of a 2 in 1/2 ft. By 1 and 1/4 ft.... (answered by ewatrrr)
1. Evaluate the following sums given the sequence: 16, 14, 30, 44,... F(1) + F(2) +... (answered by ikleyn)
A triangular window frame has a base of 4 ft and a height of 6 ft. How much glass will... (answered by stanbon)
The Golden Ratio: The ancient Greeks thought that the most pleasing shape for a rectangle (answered by Nate)
The golden ratio. The ancient Greeks though that the most pleasing shape for a... (answered by kmcruz09)
Please help. The golden ratio. The ancient Greeks thought that the most pleasing shape... (answered by checkley75)
The golden ratio. The ancient Greeks thought that the most pleasing shape for a... (answered by algebrapro18)