Question

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} )

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

Solution