Answer:
[tex]P=19y+15[/tex]
Step-by-step explanation:
Step one:
Given data
dimension of the rectangle
Width = 8y-1.5
Length = 1.5y+9
Required
The expression to represents the Perimeter
Step two:
the perimeter of a rectangle is expressed as
[tex]P= 2L+2W\\\\P=2(1.5y+9)+2(8y-1.5)\\\\P=3y+18+16y-3\\\\[/tex]
collect like terms
[tex]P=3y+16y+18-3\\\\P=19y+15[/tex]