Respuesta :

Answer:

  [tex]\boxed{486}[/tex]

Step-by-step explanation:

Using the Pythagorean theorem, you can find the length KP:

  KP = √(45² -36²) = √729 = 27

The area of ALP is the same as the area of AKP:

  (1/2)(KP)(KA) = (1/2)(27)(36) = 486 . . . . square units