Question 174026
Three consecutive even integers are:  {{{x}}}, {{{x+2}}}, and {{{x+4}}}.


Their sum, {{{x+x+2+x+4=3x+6}}} is the perimeter.


The longest side, {{{x+4}}} is 22 units shorter than the perimeter, so {{{x+4+22=x+26}}} is the perimeter.


Having two expressions for the perimeter, we can set them equal:


{{{3x+6=x+26}}}


{{{3x-x=26-6}}}


{{{2x=20}}}


{{{x=10}}}


So the sides are 10, 12, and 14.  The perimeter is then {{{10 + 12 + 14 = 36}}} and {{{36-22=14}}} so the answer checks.