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?
A. 16 cm
B. 18 cm
C. 24 cm
D. Data inadequate
E. None of these
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & \frac{{2\left( {l + b} \right)}}{b} = \frac{5}{1} \cr & \Rightarrow 2l + 2b = 5b \cr & \Rightarrow 3b = 2l \cr & b = \frac{2}{3}l \cr & {\text{Then,}} \cr & {\text{Area = }}216\,c{m^2} \cr & \Rightarrow l \times b = 216 \cr & \Rightarrow l \times \frac{2}{3}l = 216 \cr & \Rightarrow {l^2} = 324 \cr & l = 18\,cm \cr} $$Join The Discussion
Comments ( 1 )
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A. 16 cm
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The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
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i am not getting it