The diagonal of a square is 4√2cm. The diagonal is another square whose a

Question

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

Options:

A . 8cm

B . 8√2cm

C . 16cm

D . 4√2cm

Answer: Option A

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

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