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?
A
14 metres
B
20 metres
C
24 metres
D
28 metres
Correct Answer: 20 metres
Let, breadth = x metres Then length = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo> </mo><mo> + </mo><mo> </mo><mfrac><mrow><mn>15</mn><mi>x</mi></mrow><mn>100</mn></mfrac><mo> </mo><mo> = </mo><mo> </mo><mfrac><mrow><mn>15</mn><mi>x</mi></mrow><mn>100</mn></mfrac></math> metres So, x <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>×</mo><mo> </mo><mfrac><mrow><mn>115</mn><mi>x</mi></mrow><mn>100</mn></mfrac></math> = 460 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo></math> 115<math xmlns = "http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup></math> = 46000 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo></math> <math xmlns = "http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup></math> = 400 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo></math> x = 20