Question

7. If each side of a square is increased by 50%, the ratio of
the area of the resulting square to that of the given square
is :​

Answer 1

Answer:

your answer is 4:9

Step-by-step explanation:

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If each of the side of a square is increased by 50%, the ratio of the area of the resulting square to that of the given square is:

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Correct option is

C

4:9

Let the side length of square be x initially. Now on increasing it by 50 % we get,

New side length =x+x×

100

50

=x+

2

x

=

2

3

x

So, the initial area was x

2

and the final area will be, (

2

3

x)

2

=

4

9

x

2 So, the ratio, initial : final =x 2 : 49 x 2=4:9