What is the scale factor from the smaller rectangle to the larger rectangle?

What is the ratio of the longer side to the shorter side of either of the two rectangles?Express your answer both in exact form and as a decimal approximation.

The ratio you found in part (b) has a special name: thegolden ratio.It is often represented by the Greek letter lowercase phi, pronounced "fee" and written

or

.Rectangles whose side lengths are in the proportion

are calledgolden rectangles.Historically many artists and architects have found rectangles whose sides are in the proportion phi to be aesthetically pleasing.Sometimes people see golden rectangles in the shape of the ancient Greek building the Parthenon (447 BC), or in the proportions of the face of the Renaissance painting Mona Lisa (1503 AD), or in the Great Pyramid of Giza (2560 BC).

Surrealist painter Salvador Dali intentionally used the golden rectangle for one of his most famous paintings.The canvas is

cm wide.If Dali intended the canvas to be a perfect golden rectangle, what height canvas should he have used?