- 4x : 1
- 1 : 2x
- x : 2
- 2x : 1

Option 4 : 2x : 1

Stay updated with Quantitative Aptitude questions & answers with Testbook. Know more about Mensuration and ace the concept of Plane Figures and Square

**Given: **

Diagonal BD = 2x√2 unit

**Formula Used:**

Area of square = (Side)^{2}

Diagonal of square = √2 × Side

**Calculation: **

Diagonal of square = √2 × Side

⇒ 2x√2 = √2 × Side

⇒ Side = 2x units

The area of square = (Side)2

⇒ Area of square = (2x)2 = 4x^{2} Sq. units

Area of square ∶ Side of square

⇒ 4x2 ∶ 2x

⇒ 2x ∶ 1

∴ The ratio of the area to the side of the square is 2x ∶ 1

The correct option is 4 i.e. 2x ∶ 1

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