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If the diagonal of a square is 22√2 cm, then the perimeter of square is ____.

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If the diagonal of a square is 22√2 cm, then the perimeter of square is ____.

(A) 24 cm 

(B) 24√2 cm 

(C) 48 cm 

(D) 48√2 cm

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1 Answer

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Best answer

In ∆ABC, 

AC2 = AB2 + BC2

∴ (122 √2 )2 = AB2 + AB2

∴ AB2 = \(\frac{12^2\,\times\,2}{2}\)  = 122

∴ AB = 12 cm 

∴ Perimeter of □ABCD = 4 x 12 = 48 cm

Correct option is (C) 48 cm

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