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      Question

      A boy walking at the rate of 4 km per hour crosses a

      square field diagonally in 36 seconds. What is the area (in m²) of the field?
      A 800 Correct Answer Incorrect Answer
      B 800/√2 Correct Answer Incorrect Answer
      C 800 √2 Correct Answer Incorrect Answer
      D 1600 Correct Answer Incorrect Answer

      Solution

      A boy travels in 36 seconds = (4 x 5/18 x 36) =40 m Let the measure of each side of the square be L. According to the question- =L √ 2 = 40 L=40/ √ 2 L = 20 √ 2 Now, Area of the field = (20 √ 2) ² = (400 x 2) = 800 m² The required area is 800 m².

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