Answer:
[tex]l=\pi D[/tex]
Step-by-step explanation:
-The length of the rectangle is mathematically equivalent to the circumference of the cylinder's base.
-The circumference is given by the formula:
[tex]\pi D=2\pi r[/tex]
Where D is the base's diameter and it's twice the radius.
-Let l denote the length of the rectangle:
[tex]C=\pi D\\\\\therefore l=\pi D[/tex]
Hence, the relationship can be expressed as l = πD