The algebraic expression that will represent the perimeter in centimeters of the given rectangle is: [tex](25.8x +11.2) $ cm[/tex]
Recall:
Perimeter of a rectangle = 2(L + W)
Given the following dimension of a rectangle:
To find the expression that represents the perimeter, plug in the given values into the formula for perimeter.
Perimeter = [tex]2((4.5x + 3.4) + (8.4x + 2.2))[/tex]
Perimeter = [tex]2(4.5x + 3.4 + 8.4x + 2.2)[/tex]
Perimeter = [tex]2(12.9x + 5.6)[/tex]
Perimeter = [tex]25.8x +11.2[/tex]
Therefore, the algebraic expression that will represent the perimeter in centimeters of the given rectangle is: [tex](25.8x +11.2) $ cm[/tex]
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