The diagonal of a square is 42 cm. The diagonal of another square whose area is double that of the first square , is:

The diagonal of a square is 42 cm. The diagonal of another square whose area is double that of the first square , is: Correct Answer 8cm

diagonal = a2 = 42 ∴ side = a = 4 ∴ area = 4× 4 = 16 ∴ 2 × area = 16 × 2 = 32 New area = 32 New side = 32 = 4×8 = 28 New diagonal = 28×2 = 28×2 = 216 = 2×4 = 8cm
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