Correct Answer - Option 2 : 25

\(\sqrt{3}\) cm

2
**Given:**

The length of the diagonal of the rectangle is 10 cm. And if it is double of a side of that rectangle

**Concept Used:**

Area = Length × Breadth

Diagonal^{2} = Length^{2} + Breadth^{2}

**Calculation:**

Length of the diagonal = 10 cm

Accordingly,

Length of one side of the rectangle = 10/2 = 5 cm

Let, length of another side be x

10^{2} = 5^{2} + x^{2}

⇒ x^{2} = 100 - 25

⇒ x = √75

⇒ x = 5√3

Area of the rectangle = 5 × 5√3 = 25√3

**∴ The area of the rectangle is 25√3 cm**^{2}.