To determine the correct answer, let's carefully break down the problem.
1. Understanding the Perimeter of a Rectangle:
The perimeter [tex]\(P\)[/tex] of a rectangular garden with length [tex]\(l\)[/tex] and width [tex]\(w\)[/tex] is calculated by the formula:
[tex]\[
P = 2(l + w)
\][/tex]
2. Calculating the Total Distance Jane Runs in Four Laps:
Since the perimeter is the distance around the garden, if Jane completes one lap, she runs a distance equal to the perimeter.
If Jane completes four laps around the garden, the total distance [tex]\(D\)[/tex] she runs is:
[tex]\[
D = 4 \times P = 4 \times 2(l + w) = 8(l + w)
\][/tex]
Therefore, the correct expression that approximates the total distance Jane ran after four laps is:
[tex]\[
\boxed{8(l+w)}
\][/tex]
So, the correct answer is:
B. [tex]\(8(l+w)\)[/tex]
