Respuesta :
Answer:
The length of rectangle is 3x.
Step-by-step explanation:
Given that the perimeter of rectangle formula is P = 2l + 2w where l represents length and w is width. Then you have to substitute the expressions into the formula :
[tex]p = 2l + 2w[/tex]
Let p = 8x - 2,
Let w = x - 1,
[tex]8x - 2 = 2l + 2(x - 1)[/tex]
[tex]8x - 2 = 2l + 2x - 2[/tex]
Next you have to find the expression for length by moving all the unrelated terms to the other side :
[tex]8x - 2 - 2x + 2 = 2l[/tex]
[tex]2l = 6x[/tex]
[tex]l = 3x[/tex]