Question 1181833


 a pair of any consecutive odd integers are also {{{2}}} units apart

let consecutive odd numbers be {{{x}}}, {{{x+2}}}, {{{x+4}}}

 if the perimeter is {{{45cm}}}, we have

{{{x+x+2+ x+4= 45}}}
{{{3x+6= 45}}}
{{{3x= 45-6}}}
{{{3x= 39}}}
{{{x= 13}}}

then
{{{x+2=13+2=15}}}
{{{x+4=13+4=17}}}

 the length of the longest side is {{{17cm}}}