The width of the rectangle is: 3). 2x² - 6
The perimeter of a rectangle = 2(l + w), where we have:
Given the parameters:
Perimeter of rectangle = 4x² + 8x - 12
Length of the rectangle = 4x
Width = ?
Plug in the values into formula
4x² + 8x - 12 = 2(4x - width)
Divide both sides by 2
2x² + 4x - 6 = 4x - width
Subtract both sides by 4x
2x² + 4x - 6 - 4x = 4x - width - 4x
2x² - 6 = width
Thus, the width of the rectangle is: 3). 2x² - 6
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