Area Calculation for Park Including Path

In a rectangular park, the length is twice the width. A path that is 3 meters wide goes all the way around the park. If the area of the park excluding the path is 480 square meters, what is the total area of the park including the path?

Let the width of the park be represented by $w$. Then the length would be $2w$. The area of the park can be calculated using the formula:

$A = ext{length} imes ext{width} = 2w imes w = 2w^2$.

To find the dimensions including the path, determine the new dimensions, which will be $(2w + 6)$ for length and $(w + 6)$ for width.