Question

The length of the diagonal of a square is 8square root 2cm. find the length of its side and hence find the area of square.

Answer 1

Let the side be a cm
According to question
$\sqrt{ {a}^{2} + {a}^{2} } = 8 \sqrt{2} \\ \sqrt{2 {a}^{2} } = 8 \sqrt{2} \\ \sqrt{2 } \times a = 8 \sqrt{2 } \\ a = 8$
Side of square = 8cm
Area of square =64 cm sq.