High School

The perimeter of a square is 82 inches.

Which equation could you use to find a side length of the square in inches?

A. \( x + 4 = 82 \)
B. \( 2x + 2y = 82 \)
C. \( 4x = 82 \)
D. \( x^2 = 82 \)

Answer :

4x=82 is the best or 82/4= x is another if that option is available

Final answer:

The appropriate equation to find the side length of a square given the perimeter is 4x=Perimeter. In your case, you would use this equation to find that each side of the square is 20.5 inches long.

Explanation:

In order to solve for the side length of a square given the perimeter, you can use the equation 4x=Perimeter. This is because the perimeter of a square is four times the length of one side.

Since the perimeter of the square in your question is 82 inches, you can substitute that into the equation. This gives 4x=82.

To resolve for x (the side length), you must then divide both sides of the equation by 4. This results in x = 20.5. So, each side of the square is 20.5 inches long.

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