The expression that represents the width of the rectangle is: 2x - 3.
What is the Area of a Rectangle?
Area of rectangle = length × width
Given:
Area = (10x² + 3x - 27) sq. yards
Length = (5x + 9) yards
Therefore:
Width = Area of rectangle/length
Width = (10x² + 3x - 27)/(5x + 9)
Factorize the numerator
Width = (5x + 9)(2x - 3)/(5x + 9)
Width = 2x - 3
Therefore, the expression that represents the width of the rectangle is: 2x - 3.
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