Question

The length of diagonal of a square, whose area is double of another square with length of diagonal $6\sqrt{2}$cm is -

• A. 6√2m
• B. 12 cm
• C. 2√2
• D. 24 cm
• E. 6 cm

Answer 1

The correct option is B

12 cm

Let the length of the diagonal of 2${}^{nd}$ square be `x'.

If length of diagonal of 1${}^{st}$ square is 6$\surd$2, side of square = 6 cm.

Area of square = 36 cm${}^2$

Area of 2${}^{nd}$ square = 72 cm${}^2$

Side of 2${}^{nd}$ square = 6$\surd$2 cm

Length of diagonal of 2${}^{nd}$ square = 12 cm