Answer:
P = (10 + 2√13) ft ≈ 17.21 ft
Step-by-step explanation:
A = 12 ft² - area of triangle
a = 4 ft, b - legs of right triangle
c - hypotenuse (third side of triangle)
A = ¹/₂ ab
12 = ¹/₂•4•b
12 = 2b
b = 6 ft
from Pythagorean theorem:
a² + b² = c²
4² + 6² = c²
c² = 16 + 36
c = √52 = 2√13 ft
The perimeter: P = a + b + c
P = 4 + 6 + 2√13 = (10 + 2√13) ft ≈ 10 + 7.21 = 17.21 ft
