If side of a square is doubled. Then the ratio of areas of square will

1.	If side of a square is doubled. Then the ratio of areas of square will be:1. 4 ∶ 12. 1 ∶ 43. 2 ∶ 14. No change
Answer» Correct Answer - Option 2 : 1 ∶ 4 Formula Used: Area of square = Side × Side Calculation: Case:1 Let assume that side of a square = x unit Area of square = Side × Side ⇒ Area of square = x × x = x² square units Case: 2 ⇒ Side of square is doubled , so side = 2x units Area of square = Side × Side ⇒ Area of square = 2x × 2x = 4x² square units Ratio ⇒ Area of square 1/ Area of square 2 = x²/4x² ∴ Area of square 1 ∶ Area of square 2 = 1 ∶ 4 The correct option is 2 i.e. 1 ∶ 4 .

If side of a square is doubled. Then the ratio of areas of square will be:1. 4 ∶ 12. 1 ∶ 43. 2 ∶ 14. No change

Answer» Correct Answer - Option 2 : 1 ∶ 4

Formula Used:

Area of square = Side × Side

Calculation:

Case:1

Let assume that side of a square = x unit

Area of square = Side × Side

⇒ Area of square = x × x = x² square units

Case: 2

⇒ Side of square is doubled , so side = 2x units

Area of square = Side × Side

⇒ Area of square = 2x × 2x = 4x² square units

Ratio

⇒ Area of square 1/ Area of square 2 = x²/4x²

∴ Area of square 1 ∶ Area of square 2 = 1 ∶ 4

The correct option is 2 i.e. 1 ∶ 4 .

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If side of a square is doubled. Then the ratio of areas of square will be:1. 4 ∶ 12. 1 ∶ 43. 2 ∶ 14. No change

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