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The length of a side of square is given ...

The length of a side of square is given as `2x + 3`. Which expression represents the perimeter of the square?

A

`2x + 16`

B

`6x + 9`

C

`8x + 3`

D

`8x + 12`

Text Solution

AI Generated Solution

The correct Answer is:
To find the perimeter of a square when the length of a side is given as \(2x + 3\), we can follow these steps: ### Step 1: Understand the formula for the perimeter of a square. The perimeter \(P\) of a square is calculated using the formula: \[ P = 4 \times \text{side} \] ### Step 2: Substitute the given expression for the side. In this case, the side of the square is given as \(2x + 3\). We can substitute this into the perimeter formula: \[ P = 4 \times (2x + 3) \] ### Step 3: Distribute the 4 to both terms inside the parentheses. Now, we will distribute the 4: \[ P = 4 \times 2x + 4 \times 3 \] ### Step 4: Perform the multiplication. Calculating each term gives: \[ P = 8x + 12 \] ### Final Answer: Thus, the expression that represents the perimeter of the square is: \[ \boxed{8x + 12} \] ---
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