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      Question

      If the two adjacent sides of a rectangle are x cm and x

      – 10 cm and its perimeter is 112 cm then find its area?
      A 551 cm² Correct Answer Incorrect Answer
      B 759 cm² Correct Answer Incorrect Answer
      C 936 cm² Correct Answer Incorrect Answer
      D 816 cm² Correct Answer Incorrect Answer
      E 704 cm² Correct Answer Incorrect Answer

      Solution

      Let the length and breadth of rectangle = x and x – 10 cm Perimeter of rectangle = 2 x [Length + Breadth] According to the question Perimeter of rectangle = 112 cm ⇒ 2 x [Length + Breadth] = 112 ⇒ x + x – 10 = 56 ⇒ Length = x = 33 cm Breadth = (x – 10) = 23 cm Area of rectangle = Length x Breadth Area of rectangle = 33 x 23 Area of rectangle = 759 cm²

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