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      Question

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

      – 10 cm and its perimeter is 72 cm then find its area?
      A 200 cm² Correct Answer Incorrect Answer
      B 231 cm² Correct Answer Incorrect Answer
      C 299 cm² Correct Answer Incorrect Answer
      D 264 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 = 72 cm ⇒ 2 x [Length + Breadth] = 72 ⇒ x + x – 10 = 36 ⇒ Length = x = 23 cm Breadth = (x – 10) = 13 cm Area of rectangle = Length x Breadth Area of rectangle = 23 x 13 Area of rectangle = 299 cm²

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