To find the perimeter of the triangle after one side of the rectangle is removed, we start with the perimeter of the rectangle given by \(9x^2 - 4x\) and subtract the side that has been removed, given by \(5x^2 - 3x\).
We perform the subtraction of the expressions:
\[ \text{Perimeter of the triangle} = (9x^2 - 4x) - (5x^2 - 3x) \]
Let's distribute the negative sign through the second expression:
\[ = 9x^2 - 4x - 5x^2 + 3x \]
Now, we combine like terms:
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Combine the \(x^2\) terms: \[ 9x^2 - 5x^2 = 4x^2 \]
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Combine the \(x\) terms: \[ -4x + 3x = -x \]
Putting it all together, we find:
\[ \text{Perimeter of the triangle} = 4x^2 - x \]
Thus, the correct answer is:
c. \(4x^2 - x\).
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