Final answer:
The length of the rectangular parking lot, given a perimeter of 84 yards and a width of 20 yards, is 22 yards. We found this by using the perimeter formula for rectangles and solving for the length.
Step-by-step explanation:
To determine the length of the rectangular parking lot using the given perimeter and width, we use the formula for the perimeter of a rectangle: P = 2L + 2W. Given that the perimeter (P) is 84 yards and the width (W) is 20 yards, we can substitute into the formula:
84 = 2L + 2(20)
We first simplify the equation:
84 = 2L + 40
Next, we subtract 40 from both sides to solve for the length (L):
44 = 2L
Now, divide both sides by 2:
L = 22 yards
Therefore, the length of the parking lot is 22 yards.