we know that
perimeter of rectangle=2*[length+width]
we have
W(−4, 2), X(3, 2), Y(3, −4) and Z(−4, −4)
let
length=distance WX
width=distance XY
step 1
find the distance WX
d=√[(y2-y1)²+(x2-x1)²]-----> d=√[(2-2)²+(3+4)²]----> d=√49----> d=7 units
step 2
find the distance XY
d=√[(y2-y1)²+(x2-x1)²]-----> d=√[(-4-2)²+(3-3)²]----> d=√36----> d=6 units
step 3
find the perimeter
perimeter of rectangle=2*[7+6]----> 26 units
the answer is
26 units
see the attached figure
