The base of a parallelogram is twice as long as its corresponding height. If the area of the parallelogram is 144 cm2 , find the mentioned height.

$2\sqrt{2}$ cm $6\sqrt{2}$ cm $3\sqrt{2}$ cm $8\sqrt{2}$ cm

$6\sqrt{2}$ cm

We know that, Area of parallelogram = Breadth × Height We have, Breadth = 2 × Height, Area = 144 cm2 So according to the question, = 144 = 2 (h×h) = 72 = h2 = h = \(\sqrt {72}\) = h = 6\(\sqrt {2}\) cm.