Question

If the perimeter of a square is doubled, find the ratio of the original area to the new area​

Answer 1

Explanation:

ANSWER

If the length of a side of square is x then, Area=x

2

If the length of a side of square is 2x then, New Area=2x×2x=4x

2

Ratio=

New area

Original area

=

4x

2

x

2

=

4

1

therefore , the ratio is 1:4

Answer 2

Answer:

1:4

Explanation:

Let the side of square be x

Therefore,

Perimeter of square= 4x

Area of square=x^2

As per question,

the new perimeter=2×4x

=8x

Therefore,

side of new square= 8x/4

= 2x

Area of new square= 4x^2

As per question

ratio of original area to new area=x^2/4x^2

=1/4

Therefore

ratio is 1:4