For this case we have that by definition, the perimeter of a rectangle is given by:
[tex]P = 2l + 2w[/tex]
Where:
l: It is the length of the rectangle
w: It is the width of the rectangle
In this case we have to:
[tex]l = 5x + 2\\w = 4x + 6[/tex]
Then, the perimeter of the rectangle is given by:
[tex]P = 2 (5x + 2) +2 (4x + 6)[/tex]
We apply distributive property:
[tex]P = 10x + 4 + 8x + 12[/tex]
We add similar terms:
[tex]P = 18x + 16[/tex]
Thus, the perimeter of the rectangle is given by:[tex]18x + 16[/tex] inches.
ANswer:
The perimeter of the rectangle is given by: [tex]18x + 16[/tex] inches.
