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The area of a rectangle plot is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the plot?
Options:
A .  14 metres
B .  20 metres
C .  18 metres
D .  12 metres
Answer: Option B

Answer : Option B

Explanation :

lb = 460 m2 ------(Equation 1)
Let the breadth = b

$MF#%\text{Then length, l = }b \times \dfrac{(100 + 15)}{100} = \dfrac{115b}{100}\text{------(Equation 2)}$MF#%


From Equation 1 and Equation 2,

$MF#%\begin{align}
&\dfrac{115b}{100} \times b = 460\\\\
&b^2 = \dfrac{46000}{115} = 400\\\\
&\Rightarrow b = \sqrt{400} = 20\text{ m}
\end{align} $MF#%



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