In rectangle ABCD, diagonal BD is equal to 26 cm, and cotangent of angle APD is 1.5. Find the area and perimeter of rectangle ABCD.
A) Area: 180 sq cm, Perimeter: 64 cm
B) Area: 168 sq cm, Perimeter: 60 cm
C) Area: 156 sq cm, Perimeter: 56 cm
D) Area: 144 sq cm, Perimeter: 52 cm