Question 1049064
the sides of a triangle are consecutive even integers.
These three sides are, for n being any integer, {{{system(2n,2n+2,2n+4)}}}.


The longer of the two sides are also used for lengths to form a rectangle.
perimeter for this rectangle, {{{2(2n+2)+2(2n+4)}}}
{{{4n+4+4n+8}}}
{{{8n+12}}}


Perimeter of the TRIANGLE
{{{2n+2n+2+2n+4}}}
{{{6n+6}}}


Rectangle perimeter is 1.5 times the triangle perimeter.
{{{highlight(8n+12=(3/2)(6n+6))}}}
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Solve that for n, and use n to evaluate the side lengths of the triangle.