Question

when a side of a square reduced by 6cm and the area become 900cm² what is the length of the original square?​

Answer 1

Answer:

36

Step-by-step explanation:

present area=900

side=sqrt(900). (since area of square=side^2)

side=30

since this is the side after reducing 6cm the original side must be 30+6=36

Answer 2

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

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• When side of the square is reduced by 6cm then the area becomes 900 cm²

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$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

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• Side of original square = ??

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$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

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Let the original side be x

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When reduced by 6 it becomes x - 6

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$\sf{\underline{\underline{\large{\bold{Area\: of\: square = ( side)^2}}}}}$

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New area = ( x - 6 ) ²

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Acc. to the question :-

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( x - 6 ) ² = 900

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( x - 6 ) ² = ( 30 ) ²

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• Same powers implies same bases

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x - 6 = 30

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x = 30 + 6

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x = 36

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$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

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• Side of the original square is 36

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