Cookie Sheet

Welcome! You are encouraged to register with the site and login (for free). When you register, you support the site and your question history is saved.

A metal sheet measuring 18 inches by 30 inches is covered as completely as possible with non-overlapping perfectly circular cookies of identical area in n rows of m cookies. What is the value of nm?

(1) Each of the cookies has a radius of 3 inches.

(2) Five cookies in a row fit exactly within the longer dimension of the sheet.