The simplified polynomial to represent the perimeter of the rectangle is 8w - 4
Rectangles are quadrilateral with each angle equals to 90 degree.
Therefore, opposite sides are equal in a rectangle. Rectangle has 2 length of equal sides and 2 width of equal sides.
Therefore,
width = w
The length is 2 units shorter that 3 times the width. Therefore,
The perimeter of the rectangle is the sum of the whole sides of the rectangle .Therefore,
perimeter of a rectangle = 2(l + w)
Therefore,
perimeter = 2(3w-2 + w)
perimeter = 2(4w - 2)
perimeter = 8w - 4
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