Answer:
6√17 units
Step-by-step explanation:
A property of rectangles is that their opposite sides are equal in length.
Hence, to find the perimeter :
- AB + BC + CD + DA
- 2(AB) + 2(BC)
- 2(AB + BC)
Finding AB by applying distance formula :
- AB = √(1 + 3)² + (4 - 3)²
- AB = √4² + 1²
- AB = √16 + 1
- AB = √17
Finding BC :
- BC = √(3 - 1)² + (-4 - 4)²
- BC = √2² + (-8)²
- BC = √4 + 64
- BC = √68
- BC = 2√17
Perimeter :
- P = 2(AB + BC)
- P = 2(√17 + 2√17)
- P = 2(3√17)
- P = 6√17 units
