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CBSE Class 10 Answered

27

If each side of a square is increased by 25%, find the percentage change in its area?

Asked by Harshanth | 13 Jan, 2016, 10:37: PM
answered-by-expert Expert Answer

begin mathsize 14px style L e t space e a c h space s i d e space o f space t h e space s q u a r e space b e space a. rightwards double arrow A r e a space o f space t h e space s q u a r e equals a squared I f space e a c h space s i d e space i s space i n c r e a s e d space b y space 25 percent sign comma space w e space h a v e N e w space s i d e equals a plus 25 percent sign space o f space a equals a plus 25 over 100 a equals 125 over 100 a equals 5 over 4 a leftwards double arrow N e w space a r e a equals open parentheses fraction numerator 5 a over denominator 4 end fraction close parentheses squared equals fraction numerator 25 a squared over denominator 16 end fraction N o w comma space I n c r e a s e space i n space a r e a equals fraction numerator 25 a squared over denominator 16 end fraction minus a squared equals fraction numerator 25 a squared minus 16 a squared over denominator 16 end fraction equals fraction numerator 9 a squared over denominator 16 end fraction percent sign space I n c r e a s e space i n space A r e a equals fraction numerator fraction numerator 9 a squared over denominator 16 end fraction over denominator a squared end fraction cross times 100 equals fraction numerator 9 a squared over denominator 16 end fraction cross times 1 over a squared cross times 100 equals 56.25 percent sign end style

Answered by Rashmi Khot | 14 Jan, 2016, 11:46: AM

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