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Question:

The base of a parallelogram is twice as long as its corresponding height. If the area of the parallelogram is 144 , find the mentioned height.

Explanation:

Let the height of the parallelogram = h, and its base will be 2h

Area of a parallelogram = base × height

⇒ 144 = 2h × h

⇒ 72 = h² 

⇒ h = 6√2

Hence, option (a).