A farmer grows vegetables on a rectangular plot of land. The length of the plot = [tex](2x^2 + 18x + 28)[/tex]. Therefore, the width of the rectangular plot will be w = x^2 + 5x + 6.
The perimeter of a rectangle is defined as the sum of all the four sides of the rectangle.
The perimeter of a rectangle = 2( l + b)
A farmer grows vegetables on a rectangular plot of land.
The length of the plot = [tex](2x^2 + 18x + 28)[/tex]
The perimeter of the plot = [tex](6x^2 + 46x + 68)[/tex]meters,
The perimeter of a rectangle = 2( l + b)
[tex](6x^2 + 46x + 68) = 2(2x^2 + 18x + 28 + w)\\\\(6x^2 + 46x + 68) = (4x^2 + 36x + 56 + 2w)\\\\2w = (6x^2 + 46x + 68 - 4x^2 - 36x - 56 )\\\\w = x^2 + 5x + 6[/tex].
Therefore, the width of the rectangular plot will be w = x^2 + 5x + 6.
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