Question

If the diagonals of square is 16 cm. Find its area

Answer 1

Answer:

128cm^2

Step-by-step explanation:

area of square=S^2

diagonal of square=S$\sqrt{2}$=16

So,

S=16/$\sqrt{2}$=16$\sqrt{2}$/$\sqrt{2}$.$\sqrt{2}$=16$\sqrt{2}$/2=8$\sqrt{2}$

area of square=S^2=(8$\sqrt{2}$)^2=64*2=128cm^2

Answer 2

Step-by-step explanation:

given, the diagonal of square=16cm

diagonal of square=√2a

16cm=√2a

a=16/√2

area of square= a^2

=(16/√2)^2

=128cm^2