In a square plot of area x m², a strip of area (1/4)√x m² and a patch of area a² m² are added. If the total area can now be expressed as a perfect square using powers of x and constants, find the positive value of a. (Fractions printed in stacked form in the source.)

Subject: Mathematics | Topic: Algebra | Difficulty: MEDIUM

Options

  1. (A) 1/4
  2. (B) 1/8
  3. (C) 1/2
  4. (D) 1/16

Verified Answer

Option (B): 1/8


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