The Length of the Given Sign = 90 inches
The Side of the Triangle can be found by Pythagorean Theorem
⇒ (Side of the Triangle)² = 40² + 30²
⇒ (Side of the Triangle)² = 1600 + 900
⇒ (Side of the Triangle)² = 2500
⇒ (Side of the Triangle) = 50
⇒ Perimeter of the Given Sign = (4 × Side of Triangle) + (2 × Length)
⇒ Perimeter of the Given Sign = (4 × 50) + (2 × 90)
⇒ Perimeter of the Given Sign = (200 + 180) = 380 in