Answer :
Answer:
An expression for the length is:
- [tex]l=16x[/tex]
Step-by-step explanation:
Given
Area of a rectangular dog pen = A = 64xy square units
Width = w = 4y
To determine
The length = l = ?
We know that the area of a rectangular object is
A = l × w
where w is the width and l is the length of the rectangle.
substituting w = 4y and A = 64xy in the equation
[tex]A=l\times w[/tex]
[tex]64xy\:=l\times 4y\:[/tex]
[tex]\:\:l=\frac{64xy\:}{4y\:\:}[/tex]
Divide the numbers: 64/4 = 16
[tex]l=\frac{16xy}{y}[/tex]
Cancel the common factor: y
[tex]l=16x[/tex]
Therefore, an expression for the length is:
- [tex]l=16x[/tex]