Question
what are all the rectangular pens you can build with 16 yds of fencing
Answers
Ms. Sue
What size pens? For turtles, rabbits, cattle, or elephants?
Reiny
Using only whole numbers for lengths and widths
1 by 7
2 by 6
3 by 5
4 by 4 ---> notice that the sum is always 8
if you allow sides with fractional measurement, then there would be an infinite number of cases
e.g.
2.5 by 5.5
.....
3.412 by 4.588
.....
etc --------> notice that the sum is always 8
1 by 7
2 by 6
3 by 5
4 by 4 ---> notice that the sum is always 8
if you allow sides with fractional measurement, then there would be an infinite number of cases
e.g.
2.5 by 5.5
.....
3.412 by 4.588
.....
etc --------> notice that the sum is always 8