The perimeter of the figure is 32.1, the correct option is A.
What is Distance Formula ?
The distance formula for two points (x,y) and (x',y') is
D = [tex]\rm \sqrt{ (x-x')^2 +( y-y')^2}[/tex]
A figure with coordinates A,B,C,D,E is shown.
The length of the sides has to be determined to calculate the perimeter
The length of AB
[tex]\rm d= \sqrt{((2-(-4))^2+(0-5)^2}d=\sqrt{(6^2+(-5)^2)}d= \sqrt{{(36+25)}}d=\sqrt{61}[/tex]
d ≈ 7.8
The length of BC
[tex]\rm d= \sqrt{((4-(-4))^2+(10-5)^2)}d=\sqrt{(8^2+5^2)}d=\sqrt{(64+25)}d=\sqrt{(89)}[/tex]
d≈ 9.4
The length of CD
d=sqrt(25)
d≈ 5
The length of DE
d ≈ 4.5
The length of EA
d ≈ 5.4
Perimeter = Sum of all the sides
Perimeter = 7.8+9.4+5+4.5+5.4
Perimeter =32.1
Therefore, the perimeter of the figure is 32.1, the correct option is A.
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