How much ribbon is needed to wrap the package shown if 15 inches of ribbon are needed to make the bow?
length is 16
width is 9
height is 4
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To calculate the amount of ribbon needed to wrap the package, we need to find the perimeter of the package's base and the sum of its two smallest sides.
1. The perimeter of the base is the total length of its four sides. Since the width and length of the base are given as 9 and 16 inches, respectively, the perimeter is calculated as:
Perimeter of base = 2 * (length + width) = 2 * (16 + 9) = 2 * 25 = 50 inches.
2. The sum of the two smallest sides is the sum of the width and height of the package. Given that the width and height are 9 and 4 inches, respectively, the sum is calculated as:
Sum of two smallest sides = width + height = 9 + 4 = 13 inches.
Now, we add the length of ribbon needed for the bow, which is 15 inches.
Finally, to wrap the package, we need the sum of the perimeter of the base and the sum of the two smallest sides, plus the length of ribbon needed for the bow:
Total ribbon needed = Perimeter of base + Sum of two smallest sides + Length of bow
Total ribbon needed = 50 + 13 + 15 = 78 inches.
Therefore, 78 inches of ribbon are needed to wrap the package.