Rectangle ABCD, shown here, will be a golden rectangle if

AB/AD=BC/BE

where AE = AD. Let AE = 4 and find the ratio of AB to AD. (Round your answer to three decimal places.)

The oriental rug shown is 3 feet longer than it is wide. If the diagonal of the rug is 12 feet find its dimensions to the nearest tenth of a foot.

If a wagon wheel had 30 more spokes, the angle between spokes would decrease by 6°. How many spokes does the wheel have?