# 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?

##### 2 Answers

Aug 22, 2016

#### Explanation:

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

Aug 23, 2016

#### Explanation:

Calling

Determine

such that

giving the feasible pairs