1.

The height of a parallelogram is one third of its base. If the area of the parallelogram is 192 cm², find its height and base.​

Answer»

of the parallelogram = 8 cm.Base of the parallelogram = 24 cm.Given :–Area of the parallelogram = 192 cm²Height of the parallelogram is one third of its base.To Find :–HEIGHT of the parallelogram.Base of the parallelogram.Solution :–Let,• The height of the parallelogram be x.• The base of the parallelogram be y.According to the question,Height of the parallelogram is one third of its base. –––(1)We KNOW that,Area of the parallelogram = Base × HeightBase × Height = 192 cm² So, y = base = 24 cm.Now, we have to find the height of the parallelogram.Given that,Height = Now, SUBSTITUTE the value of base in eqn. (1),Hence,The height of the parallelogram (x) is 8 cm.The base of the parallelogram (y) is 24 cm.Check :–Area of the parallelogram = Base × HeightBase × Height = 192 cm²Base = 24 cm.Height = 8 cm.Since, the area of the parallelogram 192 cm is equal to the given value of the area.So, the base and the height of the parallelogram is 24 cm and 8 cm is CORRECT.


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