Answer:
The perimeter of a rectangle with sides 3x + 6 and -2x - 8 will be:
[tex]P = 2x - 4[/tex]
Step-by-step explanation:
We know that the perimeter of a rectangle of length 'l' and width 'w' is given by the formula
Given the sides of a rectangle
As the opposite sides of a rectangle are congruent.
Therefore, we conclude that the Perimeter of a rectangle can be determined using the formula
[tex]\:P\:=\:2\left(3x\:+\:6\:+\:\left(-2x\:-\:8\right)\right)[/tex]
[tex]=2\left(3x+6-2x-8\right)[/tex]
[tex]=2\left(x-2\right)[/tex]
[tex]=2x-4[/tex]
Therefore, the perimeter of a rectangle with sides 3x + 6 and -2x - 8 will be:
[tex]P = 2x - 4[/tex]
