Answer:
perimeter = 20.9 units
Step-by-step explanation:
perimeter
perimeter = distance around two dimensional shape
= addition of all sides lengths
<h2>perimeter of the figure</h2><h2>= AB+BC+CD+AD</h2>distance formula:
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
B(2,4) C(3,1)
x1 = 2 x2 = 3
y1 = 4 y2 = 1
BC = 3.2 units
<h3>3) distance of CD</h3>C(3,1) D(-4,-3)
x1 = 3 x2 = -4
y1 = 1 y2 = -3
CD = 8.1 units
<h3>4) distance of AD</h3>A(-3,0) D(-4,-3)
x1 = -3 x2 = -4
y1 = 0 y2 = -3
AD = 3.2 units
<h2>perimeter of figure</h2>= AB+BC+CD+AD
= 6.4 + 3.2 + 8.1 + 3.2
= 20.9 units