Question

What is the area of the square, if the length of its diagonal is $13\sqrt{2}$ units?

A. 104 sq. units

B. 169 sq. units

C. 3387 sq. units

D. 676 sq. units

• A. B
• B. C
• C. D
• D. A

Answer 1

Answer:

A. B

Short Trick:

Area of the square$=\frac{(Diagonal)^2}{2}$

$=\frac{ (13\sqrt{2})^2}{2} = 169 sq. units$

Detailed Solution:

Let, side of the square = x unit

Hence, diagonal$=\sqrt{2}\times{Side}= x\sqrt{2}$

According to the question,

⇒$x\sqrt{2} = 13\sqrt{2}$

⇒ x = 13

∴ Area of the square = Side²  = 13² = 169 sq. units