[20 metres] The area of a rectangle plot is 460 square metres. If the length is 15% more than the breadth, what

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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?

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,

$\dfrac{115b}{100} \times b = 460$

$b^2 = \dfrac{46000}{115} = 400$

$\Rightarrow b = \sqrt{400} = 20\text{ m}$

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