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How much will the area increase if each side of rectangle is increased by 20%?My friend Vipul and I asked this Question but we didn't understand? So please solve this question in detail.

Answer»

Lets,

Original length = x m

Original breadth = y m

Original are = l x b

= x m x ym

= xy m2

Each side increased by 20%

Then,

length = 120x/100 = 6x/5 m

breadth = 120y/100 = 6y/5 m

Area = l x b

= 6x/5 x 6y/5 m2

= 36xy/25 m2

Different = 36xy/25 m2 - xy m2

= (36xy/25 - xy/1) m2

= (36xy - 25xy)/25 m2

= 11xy/25 m2

Increase% = (Different/ original) x 100%

= ((11xy/25 ) / xy)  x 100%

= (11xy/25) x (1/xy) x 100%

= 44%



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