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Question
The area of a rectangular plot is 460 square metres, if the lenght is 15% more than the breadth, what is the breadth of the plot?
14 metres
20 metres
24 metres
28 metres
None of these
ANSWER : 2
Descrption
<p>Let, breadth = x metres <br /> Then length = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>&#xA0;</mo><mo> + </mo><mo>&#xA0;<br /> </mo><mfrac><mrow><mn>15</mn><mi>x</mi></mrow><mn>100</mn></mfrac><mo>&#xA0;</mo><mo> = </mo><mo>&#xA0;</mo><mfrac><br /> <mrow><mn>15</mn><mi>x</mi></mrow><mn>100</mn></mfrac></math> metres <br /> So, x <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#xD7;</mo><mo>&#xA0;</mo><mfrac><mrow><mn><br /> 115</mn><mi>x</mi></mrow><mn>100</mn></mfrac></math> = 460 <br /> <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</mo></math> 115<math xmlns = "http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup></math> = 46000 <br /> <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</mo></math> <math xmlns = "http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup></math> = 400 <br /> <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> x = 20</p>
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