Question

20. If the dimensions of a square are increased by 50%, its area is increased by?

A) 25% B) 125% C) 50% D) 100% E) 225%​

Answer 1

Step-by-step explanation:

Class 8

>>Maths

>>Comparing Quantities

>>Increase and Decrease in Percentage

>>If the side of a square is increased by

Question

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If the side of a square is increased by 50%. The percent increase in area is :

Medium

Solution

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Correct option is C)

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

Increasing the sides of a square by 50% increases the area of the square by 125%.