To find the total ribbon needed for all five posters, multiply the length of the diagonal (16√5) by the number of posters (5). The result is approximately 179 inches, which is closest to option D.
Step-by-step explanation:
The student's question is asking how much ribbon Taylor will need in total for all five posters, given that the diagonal of one poster is 16√5 inches long. To find this, we simply multiply the diagonal length by the number of posters.
First, we calculate the exact length of one diagonal:
16√5 = 16 * 2.236 (since √5 is approximately 2.236).
Then we multiply the length of one diagonal by the number of posters Taylor is making, which is 5.
Now let's calculate:
16 * 2.236 ≈ 35.78 inches (length of one diagonal)
35.78 inches * 5 = 178.9 inches (total ribbon needed).
Therefore, the total number of inches of ribbon Taylor needs for all five posters is closest to 179 inches, which corresponds to option D.
The probable question can be: content loaded
Taylor is making five posters for the school play. She glues a thin piece of ribbon along the diagonal of each poster. She calculates the diagonal of one poster to be 16√5 inches long.
Which of the following is closest to the total number of inches of ribbon Taylor needs for all five posters?
A. 80 inches
B. 85 inches
C. 105 inches
D. 179 inches