Find the perimeter of the polygon. Round your answer to the nearest tenth. A)32.1
B)35.8
C)37.6
D)39.2

A

Step-by-step explanation:

D=sqrt((x2-x1)^2+(y2-y1)^2)

Find distance of AB:

D=sqrt((-4-2)^2+(5-0)^2)

D=sqrt(6^(2)+5^2)

D=sqrt(36+25)

D=sqrt(61)

D=7.8

Find distance of BC:

D=sqrt((4-(-4))^2+(10-5)^2)

D=sqrt(8^(2)+5^2)

D=sqrt(64+25)

D=sqrt(89)

D=9.4

Find distance of CD:

D=sqrt((8-4)^2+(7-10)^2)

D=sqrt(4^(2)+(-3)^2)

D=sqrt(16+9)

D=sqrt(25)

D=5

Find distance of DE:

D=sqrt((4-8)^2+(5-7)^2)

D=sqrt((-4)^(2)+(-2)^2)

D=sqrt(16+4)

D=sqrt(20)

D=4.5

Find distance of EA:

D=sqrt((2-4)^2+(0-5)^2)

D=sqrt((-2)^(2)+(-5)^(2))

D=sqrt(4+25)

D=sqrt(29)

D=5.4

P=7.8+9.4+5+4.5+5.4=32.1

answer is A