Q4 of 14 Page 206

The area of a parallelogram is 392m2. If the altitude is twice the corresponding base determine the base and the height.

Let the base be 'k'


Given that the altitude is twice the base so that means


Altitude = 2k


Area of a parallelogram = base × Altitude = k × 2k


Given that the area of the parallelogram = 392m2


Base × Altitude = 392


⇒ k × 2k = 392


⇒ 2k2 = 392


⇒


⇒ k2 = 196


⇒ k = √196


⇒ k = 14m.


∴ The base of the parallelogram is 14m.


The altitude of the parallelogram is 2k = = 28m.


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