The adjacent sides of a parallelogram are 36 cm and 27 cm in length. If the perpendicular distance between the shorter sides is 12 cm, then what is the perpendicular distance between the longer sides?

Correct option is C

Given:
The adjacent sides of a parallelogram are 36 cm and 27 cm in length.
The perpendicular distance between shorter sides is 12 cm,
Formula Used:
Area of the parallelogram = base × height
Solution:
Let the perpendicular distance between the longer sides be x cm.
Area of parallelogram taking base = 27 and height = 12 cm:  27 × 12 sq. cm
Area of parallelogram taking base = 36 cm and height = x cm: 36 × x sq. cm
As the parallelogram is the same, its area is the same as well.
So, Area 1 = Area 2
27 × 12 = 36 × x
x = 9 cm