Answer:
Perimeter = 4w + 24 or P = 4w + 24 (depending on what they ask and also, hope this helps)
Explanation:
To write a function for the garden's perimeter, we need to understand the relationship between the length and width of the rectangular garden.
Given that the length of the garden is 12 feet longer than its width, we can express the length as the width plus 12.
Let's assign the variable "w" to represent the width of the garden. Then, the length of the garden can be represented as "w + 12".
The perimeter of a rectangle is given by the formula:
Perimeter = 2 * (length + width)
Substituting the expressions for length and width into the formula, we get:
Perimeter = 2 * (w + 12 + w)
Simplifying further, we have:
Perimeter = 2 * (2w + 12)
Finally, we can simplify this expression to obtain the function for the garden's perimeter:
Perimeter = 4w + 24
In summary, the function for the garden's perimeter, based on the given information, is Perimeter = 4w + 24. This means that to calculate the perimeter, you would multiply the width of the garden by 4 and add 24.