Question

if the side of a sqare be increased by 50% find the increase in Area​

Answer 1

Let side of square =x

Area =x

2

After 50% increase in side

side length =x+50% of x

=

2

3

x

Area =(

2

3x

)

2

=

4

9

x

2

percentage increase in are =

Ainitial

Ainitial−Ainitial

×100

=

x

2

4

9

x

2

−x

2

×100

=

4

5

x

2

x

2

×100=125%

Answer 2

Answer:

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★Let the sides of a square = x unit

Area of a square = x² unit²

Sides increased by 50%

= x+50% of x = x+0.5x = 1.5x

Area = (1.5x)² = 2.25x²

Increase in area = 2.25x² - x² = 1.25x²

Percentage in increase of area of the square = 1.25x²/x² × 100 = 1.25×100 = 125%

Therefore, the percentage in increase of area of the square = 125%

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