To solve for the length of the rectangle using the equation \(2x + 28 = 40\), we can follow these steps:
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Start with the equation: \[ 2x + 28 = 40 \]
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Subtract 28 from both sides to isolate the term with \(x\): \[ 2x = 40 - 28 \] \[ 2x = 12 \]
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Now, divide both sides by 2 to solve for \(x\): \[ x = \frac{12}{2} \] \[ x = 6 \]
So, the length of the rectangle is \(6\) cm.
To summarize:
- Width = 14 cm
- Length = 6 cm
- Perimeter = \(2 \times (length + width) = 2 \times (6 + 14) = 2 \times 20 = 40\) cm, which confirms our solution.
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