1.

The area of a parallelogram is 98 cm square and its altitude is twice the corresponding base. Find the altitude of the parallelogram.​

Answer»

ANSWER:

  • The required ALTITUDE of parallelogram is 14 cm.

Step-by-step explanation:

We have been given AREA of a parallelogram is 98 cm SQUARE and its altitude is twice the corresponding base.

Here, We know that Area of Parallelogram is Base × Altitude.

By the Given Condition:

∴ Let us assume base of Parallelogram be x. Then,

  • Altitude of Parallelogram will be 2x.

Now, We have to find area of Parallelogram.

  • Area of Parallelogram = Base × altitude

→ Area of Parallelogram = (x) × (2x)

→ 98 = 2x²

→ x² = 98/2

→ x² = 49

→ x = √49

→ x = 7 cm

Then, Altitude of Parallelogram =) 2x = 14 cm.

  • Therefore, the required altitude of parallelogram is 14 cm.


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