Does this book satisfy the librarian’s ratio (see Problem 55)?

Data from Problem 55

“When is an open book a closed book?” If the length-to-width ratio of a book remains unchanged when that book is opened, then that book is said to be in the librarian’s ratio.

(Note that the length, L, of the closed book becomes the width of the opened book, and twice the width of the closed book becomes the length of the opened book.) Find an approximate and an exact representation for the constant L /W.

Transcribed Image Text:

L (Length) Closed book W (Width) L (Width) Open book 2W (Length)