Respuesta :

gmany

Answer:

[tex]\large\boxed{Length=4y^2\ meters}[/tex]

Step-by-step explanation:

The formula of an area of a rectangle:

[tex]A=wl[/tex]

w - width

l - length

We have

[tex]w=3y^3,\ A=12y^5[/tex]

Substitute:

[tex](3y^3)(l)=12y^5[/tex]      divide both sides by 3y³

[tex]l=\dfrac{12y^5}{3y^3}[/tex]       use    [tex]\dfrac{a^n}{a^m}=a^{n-m}[/tex]

[tex]l=4y^{5-3}\\\\l=4y^2[/tex]