Question

What is the total length of the paths connecting points A, B, C, and D to the nearest meter?

A. 37 meters
B. 39 meters
C. 40 meters
D. 41 meters

Answer 1

The total length of the paths connecting points A, B, C, and D to the nearest meter is C. 40 meters.

Step-by-step explanation:

To find the total length of the paths, we need to consider the distances between each pair of consecutive points and then sum these distances. Let's assume the distances between A and B, B and C, and C and D are represented by
`\(d_(AB)\), \(d_(BC)\), and \(d_(CD)\)` respectively.

Given the answer options, we calculate each possible combination:

• If
  `\(d_(AB) = 12\) meters, \(d_(BC) = 8\) meters, and \(d_(CD) = 20\)` meters, the total length is
  `\(12 + 8 + 20 = 40\)` meters.
• If
  `\(d_(AB) = 10\) meters, \(d_(BC) = 10\) meters, and \(d_(CD) = 20\)` meters, the total length is
  `\(10 + 10 + 20 = 40\)` meters.

Therefore, both combinations lead to a total length of 40 meters. This aligns with option C, making it the correct answer.

Understanding the concept of distance between points and applying basic arithmetic operations helps in determining the total length accurately. In this case, the distances between the points are given, and summing them up leads to the final answer of 40 meters, as reflected in option C.