we know that having similar triangles so the ratio of sides,area and volume are same.
we know that will be the area of triangle.
so
so the ratio of the perimeter of two triangles will be
ratio of the perimeter=
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$=(a^2-10a)-(b^2+6b) +16$
$=[(a^2-2(5)a+25)-25]-[(b^2+2(3)b+9)-9]+16$
$=(a-5)^2-25-(b+3)^2+9+16$
$=(a-5)^2-(b+3)^2$