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?
14 metres
20 metres
18 metres
12 metres
Explanation:
$lb=460$ m2...(Equation 1)
Let the breadth = b
Then length, $l=b \times \dfrac{(100 + 15)}{100} = \dfrac{115b}{100}$ ...(Equation 2)
From Equation 1 and Equation 2,
$\dfrac{115b}{100} \times b = 460$
$b^2 = \dfrac{46000}{115} = 400$
$\Rightarrow b = \sqrt{400} = 20\text{ m}$