Answer:
The answer to your question is width = 8ab³
Explanation:
Data
Area = 32a³b⁴ u²
length = 4a²b u
Formula
Area of a rectangle = width x length
Solve for width
width =
![(Area)/(length)](https://img.qammunity.org/2021/formulas/mathematics/high-school/zn6k10yfbmj2ugt9rz9ilwqrfcuzfxrk92.png)
Substitution
width =
![(32a^(3)b^(4))/(4a^(2)b)](https://img.qammunity.org/2021/formulas/mathematics/high-school/fwi3xpuhejvfsn1ed5inp6os51ayivgnlb.png)
Simplify using rules of exponents, just remember that in a division we subtract the exponents and divide the coefficients normally.
width = 8 a²b³