Correct Answer - Option 1 : 25√3 sq cm

**Given **

The diagonal (d) of the rectangle = 10 cm

Diagonal is twice the breadth

**Formula used **

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

Area of rectangle = Length × Breadth

**Calculation **

Length of diagonal = 10 cm

⇒ Length of breadth = 5 cm

Let the length be l

10^{2} = l2 + 5^{2}

⇒ l^{2} = 100 - 25

⇒ l2 = 75

⇒ l = √75

⇒ l = 5√3

Area of rectangle = 5 × 5√3 = 25√3

**∴ The required answer is 25√3 sq cm**