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      Question

      The length and width of a rectangle are in the ratio of

      11:8. Additionally, the length of the rectangle is 54 cm less than its perimeter. Using this information, determine the area of the rectangle.
      A 352 sq cm Correct Answer Incorrect Answer
      B 324 sq cm Correct Answer Incorrect Answer
      C 396 sq cm Correct Answer Incorrect Answer
      D 288 sq cm Correct Answer Incorrect Answer

      Solution

      Let the length and breadth of the rectangle be '11x' cm and '8x' cm, respectively. ATQ; 2 X (11x + 8x) = 54 + 11x Or, 38x = 54 + 11x Or, 27x = 54 So, x = 2 So, area of the rectangle = 11x X 8x = 88 X 4 = 352 cm2

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