We have to express teh perimeter of the rectangle.
The sides are expressed in terms of x.
The perimeter of a rectangle can be calculated as sum of the sides, so we can write:
[tex]P=a+b+a+b=2(a+b)[/tex]
If sides a and b are in terms of x, we can write:
[tex]P=2\lbrack(5x)+(3x-2)\rbrack=2\cdot(8x-2)=16x-4[/tex]
Answer: the perimeter in terms of x is P=16x-4.
