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Question
The percentage increase in the area of a rectangle , if each of its sides is increased by 20%, is :
40%
42%
44%
46%
ANSWER : 3
Descrption
<p>Let, </p><p>one side of Rectangular is 100 m</p><p>The other side of Rectangular is 200 m</p><p>So, Present Area is = 100X200=20000 m<sup>2</sup></p><p>if increase 20% of both side of rectangular.</p><p>Then, one side of Rectangular is= 100 +<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>100</mn><mo>×</mo><mn>20</mn></mrow><mn>100</mn></mfrac></math> = 120 m</p><p> Other side of Rectangular is = 200 + <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>200</mn><mo>×</mo><mn>20</mn></mrow><mn>100</mn></mfrac></math>= 240 m</p><p>After increasing the Rectangular area is = 120× 240 = 28800 m<sup>2</sup></p><p>increasing the Rectangular area is = 28800 - 20000 = 8800 m<sup>2</sup></p><p>So, % of increasing area is = <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>8800</mn><mo>×</mo><mn>100</mn></mrow><mn>20000</mn></mfrac></math>= 44%</p><p>Ans: 44%.</p>
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