Final answer:
To find the total cording needed, the lengths of the diagonals of the kite-shaped pillow must be calculated. Adding these lengths will give the total length of cording, which should then be divided by 5 inches (length per package) to determine the number of packages required.
Step-by-step explanation:
To determine the amount of cording needed for Heath's design on the kite-shaped pillow, we need to calculate the lengths of the diagonals AC and BD. Unfortunately, without specific measurements of the kite's sides or angles, we cannot calculate the exact lengths of the diagonals. However, assuming we have the necessary measurements, we would apply the Pythagorean theorem or trigonometry to find the lengths of the diagonals based on the given dimensions of the kite.
After calculating the lengths of diagonals AC and BD, we would sum them to find the total length of cording required. If this sum is not a whole number, we then have to round up to the nearest whole number of inches since Heath cannot purchase a fraction of a cording package.
Once the total length is computed, Heath would need to divide that by the length of the cord in a package, which is 5 inches, to determine how many packages are needed. This number also has to be rounded up to the nearest whole number because Heath cannot purchase a fraction of a package.