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      Question

      The area of the rectangular field is 800 m² and its

      perimeter is 104 m. Find how much percent less the breadth of the field is compared to the length of the field?
      A 55% Correct Answer Incorrect Answer
      B 65% Correct Answer Incorrect Answer
      C 70% Correct Answer Incorrect Answer
      D Can't be determined Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Given: Area = 800 m² Perimeter = 104 m Let length = L, breadth = B 2(L + B) = 104 → L + B = 52 → L = 52 − B L × B = 800 → (52 − B) × B = 800 → 52B − B² = 800 → B² − 52B + 800 = 0 Discriminant = 52² − 4×800 = 2704 − 3200 = −496 Hence, Can’t be determined — no real solution exists. Given area and perimeter are inconsistent.

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