The diagonal of a square is 4√2cm. The diagonal is another square whose area is double that of the first square is__________?

A. 8cm
B. 8√2cm
C. 16cm
D. 4√2cm

Explanation:

Area of given square = ½ x (diagonal) 2 = 16cm2

Area of new square =(2 x 16)cm2 = 32cm2

Let the diagonal of 2nd squared be D cm

Then ½ x D2 = 32

=> D2 =64

=> D = 8 cm