27. The diagonal of a square is 6 cm. Its area (in cm²) is (1) 18 (2) 15 (3) 9 (4) 12

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27. (1) Let the side of square = a In square ( A B C D, quad B D=sqrt{2} times A B ) ( Rightarrow ) ( 6=A B sqrt{2} ) ( Rightarrow quad 6=a sqrt{2} ) ( Rightarrow ) ( a=frac{6}{sqrt{2}} ) Area ( =a^{2} ) ( therefore quad=left(frac{6}{sqrt{2}}right)^{2}=frac{36}{2}=18 mathrm{cm}^{2} )

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