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  • Question
  • The perimeter of a rectangle whose length is 6 m more than its breadth is 84 m. What will be the area of the rectangle?


  • Options
  • A. 333 sq.mts
  • B. 330 sq.mts
  • C. 362 sq.mts
  • D. 432 sq.mts

  • Correct Answer
  • 432 sq.mts 

    Explanation

    Let the breadth of the rectangle = b mts

    Then Length of the rectangle = b + 6 mts

    Given perimeter = 84 mts

    2(L + B) = 84 mts

    2(b+6 + b) = 84

    2(2b + 6) = 84

    4b + 12 = 84

    4b = 84 - 12

    4b = 72

    b = 18 mts

    => Length = b + 6 = 18 + 6 = 24 mts

     

    Now, required Area of the rectangle = L x B = 24 x 18 = 432 sq. mts


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