Question 498384
You can find the distacce between vertices  using the distance formula
{{{sqrt((x2-x1)^2 + (y2 - y1)^2)}}}
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XY = {{{sqrt((2- -2)^2 + (5 - - 1)^2)}}}
XY = {{{sqrt((4)^2 + (6)^2)}}}
XY = {{{sqrt(52)}}}
XY = 2{{{sqrt(13)}}}
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YZ = {{{sqrt((4 -2)^2 + (3 - 5)^2)}}}
YZ = {{{sqrt((2)^2 + (-2)^2)}}}
YZ = {{{sqrt(8)}}}
YZ = 2{{{sqrt(2)}}}
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XZ = {{{sqrt((4 - -2)^2 + (3 - - 1)^2)}}}
XZ = {{{sqrt((6)^2 + (4)^2)}}}
XZ = {{{sqrt(52)}}}
XZ = 2{{{sqrt(13)}}}
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The perimeter would be 4{{{sqrt(13)}}} + 2{{{sqrt(2)}}}
Cleomenius