Respuesta :

frika

Answer:

[tex]6.7\sqrt{2}\ in[/tex]

Step-by-step explanation:

Let x inches be the length of the side of the square. The area of the square is

[tex]x\cdot x=x^2\ in^2[/tex]

Then

[tex]x^2=44.89\\ \\x=6.7\ in[/tex]

By the Pythagorean theorem,

[tex]d^2=6.7^2+6.7^2\\ \\d^2=44.89+44.89\\ \\d^2=89.78\\ \\d=\sqrt{89.78}=6.7\sqrt{2}\ in[/tex]

musiclover10045

Find the length of a side by taking the square root of the area:

Side = sqrt44.89 = 6.7 inches.

Now to find the length of the diagonal multiply the side length by the sqrt of2:

Diagonal = 6.7Sqrt(2) ( exact length)

As a decimal= 9.4752

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