Question

every morning, jane runs around a rectangular garden with a length of l and a width of w. if she completes four laps around the garden, which expression best approximates the total distance she ran?
a. 4(l + w)
b. 8(l + w)
c. 4(l)(w)
d. 8(l)(w)

Explanation:

Step1: Find perimeter of garden

The perimeter $P$ of a rectangle is $P = 2(l + w)$.

Step2: Calculate total distance

She runs 4 laps, so total distance $d=4\times P$. Substituting $P = 2(l + w)$ into the formula, we get $d = 4\times2(l + w)=8(l + w)$.

Answer:

B. 8(l + w)