What is the greatest number of rectangles with integer side lengths and perimeter 10 that can be cut from a piece of paper with width 24 and length 60?
If a rectangle has perimeter
#2xx3#rectangle of area #6# #1xx4#rectangle of area #4#
The piece of paper has area
This can be divided into
It can be divided into
So the greatest number of rectangles is
giving the feasible pairs