Answer:
The diagonal is 6.7082 ≈ 6.71
Step-by-step explanation:
Let the diagonal be x :
To find the diagonal of a 3 by 6 rectangle
We can use the Pythagorean Theorem:
[tex]x^{2} = 3^{2} + 6^{2}[/tex]
⇒ [tex]x^{2} = 9 +36[/tex]
⇒ [tex]x^{2} = 45[/tex]
⇒ [tex]x=\sqrt{45}[/tex]
∴ [tex]x =6.7082[/tex] ≈ [tex]6.71[/tex] (corrected to 2 d.p.)