Hello!
The answer is: 25 units.
Why?
Since we are given the side vertices location, we can calculate the length of the side.
Both vertices have an equal x-coordinate, meaning that the length of the side will be given for the difference between the vertices y-coordinates.
So, since the distance between the two points will be the length of the side, we can calculate using the following formula:
[tex]distance=\sqrt{a^{2}+b^{2}}=\sqrt{(xa-xb^{2})+(ya-yb)^{2}}\\distance=\sqrt{(-10-(-10))^{2}+(-7-18)^{2}}=\sqrt{0+(-25)^{2}}\\distance=\sqrt{0+625}=\sqrt{+625}=25units[/tex]
So, the length of the side of the rectangle is 25 units.
Have a nice day!
