which equation represents this hanger model

Question

On the right side in the rectangle it is 14 on the left side in one square it is r in the other square it is r in the triangle it is 4

answer choices
2r + 4 = 14

2r - 4 = 14

2 + r + 4 = 14

2r + 4

Answer 1

To determine which equation represents the given hanger model, let's analyze the information provided:

1. On the right side of the rectangle, the total weight is 14.
2. The left side has two segments (squares) each labeled as \( r \), and a triangle labeled as 4.

This indicates that the total weight on the left side is the sum of the weights of the two squares and the triangle. Therefore, we can express the left side's total weight as: \[ r + r + 4 \] which simplifies to: \[ 2r + 4 \]

Since the total weight on the left side must equal the total weight on the right side (which is 14), we can set up the equation: \[ 2r + 4 = 14 \]

Thus, the correct equation representing the hanger model is: 2r + 4 = 14.