Length of the rectangle : 6 unit
Width of the rectangle : 3.5 unit
We have width of the rectangle is x and length is 2x-1.
Area of the rectangle = 21.
We know area of the rectangle = Length ×width
So,
[tex]21 = (2x-1)x\\21=2x^{2} -x\\2x^{2} -x-21=0\\2x^{2} -7x+6x-21=0\\x(2x-7)+3(2x-7)=0\\(x+3)(2x-7)=0\\x=-3,x=\frac{7}{2}[/tex]
Since the width cannot be negative. So width x=3.5 unit
Now, Length
[tex]=2x-1\\=2(\frac{7}{2} )-1\\=7-1\\=6[/tex]
Therefore width is 3.5 unit and length is 6 unit of the rectangle.
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