Respuesta :
Answer:
Perimeter of square = [tex]12\sqrt{2}\,\,inches[/tex].
None of the given options is correct
Step-by-step explanation:
Given: Length of diagonal of the square = 6 inches
To find: perimeter of square
Solution:
Let x denotes side of square
Diagonal of square = [tex]\sqrt{2}x[/tex]
Also, length of diagonal of the square = 6 inches
So,
[tex]x=\frac{6}{\sqrt{2}}\\=\frac{6}{\sqrt{2}}\left ( \frac{\sqrt{2}}{\sqrt{2}} \right )\\=3\sqrt{2}[/tex]
Perimeter refers to the distance around a two-dimensional shape.
Perimeter of square = 4×side
=[tex]4(3\sqrt{2})=12\sqrt{2}\,\,inches[/tex]
So, none of the given options is correct.
