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The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?


Options:
A .  16 cm
B .  18 cm
C .  24 cm
D .  Data inadequate
E .  None of these
Answer: Option B

2(l + b) = 5 b 1

 The Ratio Between The Perimeter And The Breadth Of A Rectan... 2l + 2b = 5b

 The Ratio Between The Perimeter And The Breadth Of A Rectan... 3b = 2l

b = 2 l 3

Then, Area = 216 cm2

 The Ratio Between The Perimeter And The Breadth Of A Rectan... l x b = 216

 The Ratio Between The Perimeter And The Breadth Of A Rectan...l x 2 l = 216 3

 The Ratio Between The Perimeter And The Breadth Of A Rectan... l2 = 324

 The Ratio Between The Perimeter And The Breadth Of A Rectan... l = 18 cm.



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