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      Question

      The breadth of a rectangle is increased by 7 cm, it will

      become twice the length of the rectangle. If the new perimeter is 348 cm, then find the original area (in sq.cm) of the rectangle.
      A 2576 Correct Answer Incorrect Answer
      B 2444 Correct Answer Incorrect Answer
      C 5021 Correct Answer Incorrect Answer
      D 6322 Correct Answer Incorrect Answer
      E 3127 Correct Answer Incorrect Answer

      Solution

      Let original length = L Let original breadth = B Given: B + 7 = 2L New perimeter = 348 So, 2 ├Ч (L + B + 7) = 348 L + B + 7 = 174 L + B = 167 From B + 7 = 2L, B = 2L - 7 Substitute in L + B = 167: L + 2L - 7 = 167 3L = 174 L = 58 Then, B = 2 ├Ч 58 - 7 = 109 Original area = L ├Ч B = 58 ├Ч 109 = 6322 sq. cm

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