Identify and correct the errors in the following calculations:

[tex]\[
\begin{aligned}
+12^2 & = d^2 \\
34 + 24 & = d^2 \\
88 & = d^2 \\
\sqrt{88} & = d \\
94 & \approx d
\end{aligned}
\][/tex]

Errors:
1. She did not find the full distance each traveled in 1.5 hours. She should have used [tex]$12 \text{ km}$[/tex] for Joseph's distance and [tex]$18 \text{ km}$[/tex] for Isabelle's distance.
2. She did not square the 12 in the problem correctly. She should have used [tex]$12^2 = 144$[/tex].
3. She did not evaluate [tex]$8^2$[/tex] correctly. She should have used [tex]$8^2 = 64$[/tex].
4. She did not evaluate [tex]$\sqrt{88}$[/tex] correctly. She should have used [tex]$\sqrt{88} \approx 9.38$[/tex].
5. She should not have taken the square root of each side when solving. She should have just divided each side by 2.
6. She should not have added the squares in the first step. She should have used [tex]$12^2 - 8^2 = a^2$[/tex].

Mark this and return.