Thinking the perimeter of the rectangle is 3x + 2 + x + 3x + 2 + X.
Alix expressed the perimeter as 2(3x + 2) + 2x. Babat expressed it as
8x + 4. Describe in words how each expression represents the
perimeter in terms of the length 3x + 2, the width x, or both.
Then identify one benefit of each form of the expression.

Respuesta :

They are both right because the first expression is the perimeter but expanded in terms of length.The second expression is shortened to be a factor expression but they both represent the length.
The benefit of the first one is you can see how it’s expanded and plug the numbers in and the second one is more easy to plug in the numbers with ease.

The perimeter of the rectangle is 8x + 4

A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel.

Perimeter of rectangle = 2(length + width)

Given that length = 3x + 2, width = x, hence:

Perimeter = 2((3x + 2) + x) = 2(3x + 2) + 2x

Perimeter = 6x + 4 + 2x = 8x + 4

The perimeter of the rectangle is 8x + 4

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