A rectangle has perimeter of 50 metres. If its mength is 13 metres more than its breadth

A rectangle has perimeter of 50 metres. If its mength is 13 metres more than its breadth, then its are is
(a) 124 m2
(b) 144 m2‑
(c) 114 m2
(d) 104 m2

Anurag Mishra Professor Asked on 29th February 2016 in Maths.
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  • 1 Answer(s)

    Answer: (c) 114 m2

    Solution:-
    Let the breadth of a rectangle be X m 
    Then, length of the rectangle = (X + 13) m 

    The perimeter of a rectangle is 50 meters
    Then, 2 ( X + X + 13) = 50 
     2 X + 2 X + 26 = 50
    4 X = 50 – 26
    X = 24/4
    X = 6 

    Then, breadth of the rectangle X= 6 m & length of the rectangle = 6 + 13 = 19 m

    Area of the rectangle = 19 x 6
     = 114 m^2.

    Hence, the correct answer is option (c) 114 m2

    Anurag Mishra Professor Answered on 2nd March 2016.
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