Answer:
perimeter = 20.9 units
Explanation:
perimeter
perimeter = distance around two dimensional shape
= addition of all sides lengths
perimeter of the figure
= AB+BC+CD+AD
distance formula:

1) distance of AB
A(-3,0) B(2,4)
x1 = -3 x2 = 2
y1 = 0 y2 = 4
(substitute the values into the distance formula)


AB = 6.4 units
2) distance of BC
B(2,4) C(3,1)
x1 = 2 x2 = 3
y1 = 4 y2 = 1



BC = 3.2 units
3) distance of CD
C(3,1) D(-4,-3)
x1 = 3 x2 = -4
y1 = 1 y2 = -3



CD = 8.1 units
4) distance of AD
A(-3,0) D(-4,-3)
x1 = -3 x2 = -4
y1 = 0 y2 = -3



AD = 3.2 units
perimeter of figure
= AB+BC+CD+AD
= 6.4 + 3.2 + 8.1 + 3.2
= 20.9 units