see diagram in attachment
a rhombus is a 4 sided figure with 4 equal length sides
so if we can find the length of 1 side and multiply it by 4, we get the perimiter
you can draw 2 lines to make 4 similar triangles
we can see that you can use pythagorean rule to get the length of the hypotonuse of one triangle so
so perimiter is 4*5=20 units
or you can use distance formula which is basically the pythatorean theorm
from W to X, that is from (-3,1) to (1,4)






4*5=20, so perimiter is 20 units