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      Question

      The length of the diagonal of a rectangle is 26 cm, and

      one side is 10 cm. The area of the rectangle is:
      A 240 Correct Answer Incorrect Answer
      B 260√2 Correct Answer Incorrect Answer
      C 65√2 Correct Answer Incorrect Answer
      D 130√2 Correct Answer Incorrect Answer

      Solution

      According to the given information, Length of diagonal of the rectangle of side length 'a' and 'b' = √(a² + b²) = 26 cm One side length (Let's assume it's 'a') = 10 cm √(10² + b²) = 26 On squaring both sides, we get, 102 + b² = 676   b2 = 676-100  b = √576 = 24 cm  Area of given rectangle = a x b = 10 x 24 = 240 sq cm

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