Respuesta :

Answer:

the side length is 30 feet

Step-by-step explanation:

we are given cost equation as

[tex]C=\frac{n^2}{5}+175[/tex]

where

C is the cost in dollars

n is a side length in feet

we are given

cost is $355

so, C=355

we can set C=355

and then we can solve for n

[tex]355=\frac{n^2}{5}+175[/tex]

we can subtract both sides by 175

[tex]355-175=\frac{n^2}{5}+175-175[/tex]

[tex]\frac{n^2}{5}=180[/tex]

Multiply both sides by 5

[tex]5\times \frac{n^2}{5}=5\times 180[/tex]

[tex]n^2=900[/tex]

now, we can take sqrt both sides

[tex]n=\sqrt{900}[/tex]

[tex]n=30[/tex]

So,

the side length is 30 feet

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