Given:
Width of rectangular backyard = [tex]3x^2[/tex] feet
Length of rectangular backyard = [tex]4xy+5x^3y^2[/tex] feet
To find:
The perimeter of yard.
Solution:
Formula or perimeter of a rectangle is
[tex]Perimeter=2(length +width)[/tex]
Using this formula, the perimeter of the rectangular backyard is
[tex]Perimeter=2(4xy+5x^3y^2+3x^2)[/tex]
[tex]Perimeter=8xy+10x^3y^2+6x^2[/tex]
Therefore, the perimeter of the rectangular backyard is [tex]8xy+10x^3y^2+6x^2[/tex] feet. So, [tex]8xy+10x^3y^2+6x^2[/tex] feet fencing is needed.
