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# The cost C (in dollars) of making a square window with a side length of n feet is represented by C = 3.5 n ​2 A window costs \$126. What is the length

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The cost C (in dollars) of making a square window with a side length of n feet is represented by C = 3.5n2 A window costs \$126. What is the length (in feet) of the window?

Guest Mar 14, 2017

#1
+5594
+6

C = 3.5n2

Plug in what you know.

126 = 3.5n2

Divide both sides by 3.5

126/3.5 = n2

36 = n2

Take the square root of both sides.

√(36) = n

6 feet = n

side length = 6 feet

hectictar  Mar 14, 2017
Sort:

#1
+5594
+6

C = 3.5n2

Plug in what you know.

126 = 3.5n2

Divide both sides by 3.5

126/3.5 = n2

36 = n2

Take the square root of both sides.

√(36) = n

6 feet = n

side length = 6 feet

hectictar  Mar 14, 2017
#2
+5

A square window would have 4 equal sides

so 126 / 4 =31.5

Meaning each side othe square window would cost \$31.50.

Then I see that it is a trick quetion as that has nothing to do with the question at all.

So to the equation C= 3.5 n^2

C=126

126 = 3.5 n^2

dived both sides by 3.5

126 / 3.5 = 36             3.5(n^2) / 3.5 = (n^2)

36 = n^2

Take the square root of both sides

(6*6) = 36     (n*n)=(n^2)

6=n

n=6

Length of each side is 6 feet.

Guest Mar 14, 2017

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