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

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