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
Diagonal2 = Length2 + Breadth2
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
102 = 52 + x2
⇒ x2 = 100 - 25
⇒ x = √75
⇒ x = 5√3
Area of the rectangle = 5 × 5√3 = 25√3
∴ The area of the rectangle is 25√3 cm2.