Answer: Second Option is correct.
Step-by-step explanation:
Since we have given that
In a parallelogram, the vector from one vertex to another vertex is (9,-2)
So, the co-ordinate of first vertex will be (9,0).
And the coordinate of second vertex will be (0,-2).
As we know the formula for "Distance between two coordinates":
So, The length of the side is given by
![Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\Distance=\sqrt{(9-0)^2+(0-(-2))^2}\\\\Distance=\sqrt{9^2+2^2}\\\\Distance=\sqrt{81+4}\\\\Distance=\sqrt{85}](https://tex.z-dn.net/?f=Distance%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D%5C%5C%5C%5CDistance%3D%5Csqrt%7B%289-0%29%5E2%2B%280-%28-2%29%29%5E2%7D%5C%5C%5C%5CDistance%3D%5Csqrt%7B9%5E2%2B2%5E2%7D%5C%5C%5C%5CDistance%3D%5Csqrt%7B81%2B4%7D%5C%5C%5C%5CDistance%3D%5Csqrt%7B85%7D)
Hence, Second Option is correct.