Final answer:
Jack wants to create a rectangular garden with a 405 ft² area and needs to determine dimensions for fencing. By finding factors of 405 for length and width, and adding all sides together, he can calculate the perimeter for the fence.
Step-by-step explanation:
Jack is interested in creating a rectangular garden with an area of 405 ft², which pertains to the mathematical concept of area calculation within the subject of geometry. When dealing with fencing around the garden, he would also need to consider the perimeter of the rectangle, which is the sum of all its sides. To determine the dimensions of the rectangular garden, Jack needs to find two factors of 405 that would represent the length and the width, since the area of a rectangle is calculated by multiplying its length by its width. Some possible dimensions for the rectangular garden could be 15 ft by 27 ft, or 9 ft by 45 ft, but there are several combinations that can work depending on the length-to-width ratio that Jack desires. The fencing would then be calculated by adding together the lengths of all four sides of the chosen dimensions.