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The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is?

  • A.8 m
  • B.10 m
  • C.6 m
  • D.12 m

Answer: A

Let the base be \( b \); the altitude is then \( 2b \).

\[ A = b \times 2b = 2b^{2} = 128 \]

\[ b^{2} = 64 \quad\Longrightarrow\quad b = 8 \text{ m} \]

A parallelogram's area is base times perpendicular height, with no factor of one half - that half belongs to the triangle.

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