Let the height of the parallelogram be x cm.
Then, the base of the parallelogram will be 2x cm.
It is given that the area of the parallelogram is 512 cm2.
Area of a parallelogram = Base Height
∴ 512 cm2 = 2x x
512 cm2 = 2x2
⇒ x2 = cm2 = 256 cm2
⇒ x2 = (16 cm)2
⇒ x = 16 cm
∴ Base = 2x = 2 16
= 32 cm
Height = x = 16 cm