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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))/(b) = 5 : 1 `

`rArr     2l + 2b =  5b`

`rArr   3b = 2l`

`rArr    b =  2/3 l.`

Then , area = 216`cm^2`

`rArr  l xx b = 216`

`rArr   l xx 2/3 l= 216`

`rArr    l^2 = 324`

`rArr  l  = 18 cm.`




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