The area of the rectangle newly formed in terms of x is [tex]4x^{2} -8x[/tex] square inches
According to the question,
We have the following information:
A rectangle has a length of x inches and a width 2 inches less than the length.
Width of the rectangle = (x - 2) inches
Length of the rectangle = x inches
Now, when the dimensions are doubled:
Width = 2(x-2) inches
Length = 2x inches
Following formula is used to find the area of rectangle:
Area = length*breadth
Area = 2x*2(x-2)
Area of the rectangle = 4x(x-2)
Area of the rectangle = [tex]4x^{2} -8x[/tex] square inches
Hence, the correct option is D.
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