Answer:
[tex]W=9x^{6}y^{4}\ yd[/tex]
Step-by-step explanation:
we know that
The area of rectangle is equal to
[tex]A=LW[/tex] -----> equation 1
we have
[tex]A=54x^{9}y^{8}\ yd^{2}[/tex]
[tex]L=6x^{3}y^{4}\ yd[/tex]
substitute in the equation 1 and solve for W
[tex]54x^{9}y^{8}=(6x^{3}y^{4})W[/tex]
simplify
Divide by [tex](6x^{3}y^{4})[/tex] both sides
[tex]W=9x^{6}y^{4}\ yd[/tex]