Answer:
2nd , 3rd and 4th option are correct.
Step-by-step explanation:
Given Coordinates of the Vertex of the Quadrilateral,
P( 0 , 4 ) , Q( 2 , 4 ) , R( 2 , -2 ) and S( -2 , 1 )
We need to find length of the Quadrilateral.
We know the distance formula of two points,
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Now, using this formula
[tex]PQ=\sqrt{(2-0)^2+(4-4)^2}=\sqrt{2^2+0}=2\:units[/tex]
[tex]QR=\sqrt{(2-2)^2+(4-(-2))^2}=\sqrt{0+6^2}=6\:units[/tex]
[tex]RS=\sqrt{(2-(-2))^2+(-2-1)^2}=\sqrt{4^2+(-3)^2}=\sqrt{16+9}=\sqrt{25}=5\:units[/tex]
[tex]SP=\sqrt{(-2-0)^2+(1-4)^2}=\sqrt{(-2)^2+(-3)^2}==\sqrt{4+9}=\sqrt{13}\:units[/tex]
Therefore, 2nd , 3rd and 4th option are correct.
