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Answer :
Final answer:
To solve the problem, we use the formula for the perimeter of a square (P = 4s) and set up an equation 6s - 6 = 4s. Solving for s, we find that the side length is 3 units. So, the correct option is option c.
Explanation:
The question presents a mathematical problem related to geometry, specifically squares and their properties. To find the length of a side of a square when given the perimeter formula, recall that the perimeter of a square (P) is equal to 4 times the side length (s): P = 4s.
According to the information provided, the perimeter is also given by the expression '6 times the length of a side, decreased by 6'. This can be translated into the equation: 6s - 6 = 4s. To solve for the side length (s), we move all terms involving 's' to one side of the equation and constant terms to the other side, resulting in: 6s - 4s = 6; 2s = 6; s = 6/2; s = 3. Therefore, the length of a side of the square is 3 units. This matches option c from the provided choices. This is the exact solution to the problem, being both clear and concise, and explains the fundamental concept that the perimeter of a square is the sum of all its sides.
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