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The area of the rectangle shown is expressed as 4x² - 2x - 6
The diagram is attached below:
Area of a rectangle = Length * width
From the diagram;
Length = 4x - 6
Width = x+1
Substitute the given parameters into the formula as shown:
Area = 4x-6(x+1)
Area = 4x(x) + 4x (1) - 6x - 6
Area = 4x² + 4x - 6x - 6
Area = 4x² - 2x - 6
Hence the area of the rectangle shown is expressed as 4x² - 2x - 6
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