📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!
  • google app store apple app store
    • ✖

      Question

      The perimeter of a rectangle of length 2(x + 2) cm and

      breadth 2(x + 4) cm is double the perimeter of a square of area 256 cm². Find the area of the rectangle.
      A 1020 cm² Correct Answer Incorrect Answer
      B 1287 cm² Correct Answer Incorrect Answer
      C 1935 cm² Correct Answer Incorrect Answer
      D 1443 cm² Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Area of square = 256 cm²   Side of square = √256 = 16 cm   Perimeter of square = 16 × 4 = 64 cm   So, perimeter of rectangle = 2 × 64 = 128 cm   ⇒ 2(2(x + 2) + 2(x + 4)) = 128   ⇒ 4x + 12 = 64   ⇒ 4x = 52   ⇒ x = 13   So, length of rectangle = 2(13 + 2) = 30 cm   And, breadth of rectangle = 2(13 + 4) = 34 cm   Therefore, area of rectangle = 30 × 34 = 1020 cm²

      Practice Next
      More Mensuration Questions

      Relevant for Exams:

      ask-question