Answer:
20.4 units
Step-by-step explanation:
The coordinates of the vertices of a polygon are (−5, 1) , (−1, 3) , (2, 3) , (2, −2) , and (−3, −1) .
What is the perimeter of the polygon?
Enter your answer as a decimal, rounded to the nearest tenth of a unit, in the box.
units
A=(−5, 1) ,
B= (−1, 3) ,
C=(2, 3) ,
D= (2, −2)
E=,(−3, −1) .
there are about five points
AB,BC,CD,DE,EA
to find the distance between two point s we use the formula
d=[tex]\sqrt{(x_{2} -x_{1})^2+(y_{2}} -y_{1} )^2[/tex]
for AB=d=[tex]\sqrt{(x_{2} -x_{1})^2+(y_{2}} -y_{1} )^2[/tex]
(-1-(-5)^2+(3-1)^2=16+4=20
[tex]\sqrt{20}[/tex]
AB=4.47
BC=(2--1)^2+(3-3)^2=9
[tex]\sqrt{9}[/tex]
BC=3
CD=(2-2)^2+(-2-3)^2=25
CD=[tex]\sqrt{25}[/tex]
CD=5
DE=(-3-2)^2+(-1--2)^2
DE=[tex]\sqrt{26}[/tex]
DE=5.09
EA=(-5--3)^2+(2)^2
4+4=8
EA=[tex]\sqrt{8}[/tex]
EA=2.82
The perimeter is the length of the sides
AB+BC+CD+DE+EA
4.47+3+5+5.09+2.82
20.38=20.4
What is the perimeter of the polygon?
20.4 units
