to find the distance between both points, we should first find the coordinates of each one.
From the picture, we can see that point A is located at (-1,2) and point B is located at (1,-2).
Recall that having points (a,b) and (c,d), the distance between them is given by the formula
[tex]d=\sqrt[]{(a-c)^2+(b-d)^2}[/tex]So, in our case we take a=-1,b=2, c=1 and d=-2. Thus, we get
[tex]d=\sqrt[]{(-1-1)^2+(2-(-2))^2}=\sqrt[]{(-2)^2+(4)^2}=\sqrt[]{4+16}=\sqrt[]{20}[/tex]Using a calculator, we get that
[tex]d=2\cdot\sqrt[]{5}\approx4.472135[/tex]which round to the nearest tenth is 4.5