Question 1061802
{{{perimeter=2(length +width)}}}
If {{{2(length +width)=14}}} , {{{length+width=14/2}}}--->{{{length+width=7}}} .
How many ways can we make {{{length+width=7}}} with natural numbers (the positive integers we use to count)?
Let us count the ways, starting with {{{width=1}}} and going wider:
{{{system(width=1,length=7-1=6)}}} ---> {{{area=6*1=6}}}
{{{system(width=2,length=7-2=5)}}} ---> {{{area=5*2=10}}}
{{{system(width=3,length=7-3=4)}}} ---> {{{area=4*3=12}}}
We cannot say {{{system(width=4,length=7-4=3)}}} is an option,
because the way we define those words {{{width<=length}}} ,
and anyway, we would find the same area: {{{area=3*4=12}}} .
So, there are {{{highlight(3)}}} different possible areas.