Answer:
12
Step-by-step explanation:
Given: Diagonal of square= [tex]3\sqrt{2}[/tex]
To find the perimeter of square, we need to find the length of sides of square.
∴ Using the formula of diagonal to find side of square.
Formula; [tex]Diagonal= s\sqrt{2}[/tex]
Where, s is side of square.
⇒ [tex]3\sqrt{2} = s\sqrt{2}[/tex]
Dividing both side by √2
⇒[tex]s= \frac{3\sqrt{2} }{\sqrt{2} }[/tex]
∴[tex]s= 3[/tex]
Hence, Length of side of square is 3.
Now, finding the perimeter of square.
Formula; [tex]Perimeter= 4s[/tex]
⇒[tex]Perimeter= 4\times 3[/tex]
∴ [tex]Perimeter= 12[/tex]
Hence, Perimeter of square is 12.
