Answer: 33.8
Step-by-step explanation:
[tex]\triangle HLJ[/tex] is an isosceles right triangle with a hypotenuse of length 14, so each of its legs has length [tex]7\sqrt{2}[/tex].
Therefore, the perimeter is [tex]14+7\sqrt{2}+7\sqrt{2} \approx 33.8[/tex]
