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Standard VI

Mathematics

Area of Square

If the sides ...

Question

If the sides of a square are increased by $30 %$ , find the $%$ change in the area of the square.

Increased by

60 %

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Decreased by

90 %

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Increased by

69 %

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Decreased by

70 %

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Solution

The correct option is C Increased by $69 %$
Let $x = + 30$ (side of a square increased by 30%)
$y = + 30$ (side of another square increased by 30%)
Net % change in area $= (x + x + \frac{x y}{100}) = 30 + 30 + \frac{900}{100} = 69 %$

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If the sides of a square are increased by 30%, find the % change in the area of the square.

The correct option is C Increased by 69%Let x=+30 (side of a square increased by 30%)y=+30 (side of another square increased by 30%)Net % change in area =(x+x+xy100)=30+30+900100=69%

If the sides of a square are increased by $30 %$ , find the $%$ change in the area of the square.

The correct option is C Increased by $69 %$
Let $x = + 30$ (side of a square increased by 30%)
$y = + 30$ (side of another square increased by 30%)
Net % change in area $= (x + x + \frac{x y}{100}) = 30 + 30 + \frac{900}{100} = 69 %$