Answer:
22.43 units
Step-by-step explanation:
we know that
The perimeter of a polygon is the sum of its length sides
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
u(-2,4),v(3,4) and w(3,-4)
step 1
Find the distance uv
substitute the values
[tex]d=\sqrt{(4-4)^{2}+(3+2)^{2}}[/tex]
[tex]d=\sqrt{(0)^{2}+(5)^{2}}[/tex]
[tex]uv=5\ units[/tex]
step 2
Find the distance vw
substitute the values
[tex]d=\sqrt{(-4-4)^{2}+(3-3)^{2}}[/tex]
[tex]d=\sqrt{(-8)^{2}+(0)^{2}}[/tex]
[tex]vw=8\ units[/tex]
step 3
Find the distance uw
substitute the values
[tex]d=\sqrt{(-4-4)^{2}+(3+2)^{2}}[/tex]
[tex]d=\sqrt{(-8)^{2}+(5)^{2}}[/tex]
[tex]uw=\sqrt{89}=9.43\ units[/tex]
step 4
Find the perimeter
[tex]P=uv+vw+uw=5+8+9.43=22.43\ units[/tex]
