Question

A farmer sets up two corn mazes for a fall festival, as shown in this model.

Maze #1: 5 acres
Maze #2: 15 acres

Which equivalent expressions are represented by the model? Check the three that apply.
A. 15 + 5
B. 3 (5 + 1)
C. 5 (3+1)
D. (5) (3) + (5) (1)
E. 3 + (5 + 1)

Answer 1

To analyze the two corn mazes, we have Maze #1 that is 5 acres and Maze #2 that is 15 acres. When we look at the total area of the two mazes together, we can think of their combined area in various ways.

1. **Calculating Total Area:**
- Total area = Maze #1 + Maze #2 = 5 acres + 15 acres = 20 acres.

Now let's evaluate the options:

A. **15 + 5**: This adds up to 20, representing the total area of the two mazes. **(This is correct)**

B. **3 (5 + 1)**: This expands to 3*6 = 18, which does not equal the total area of 20. **(This is incorrect)**

C. **5 (3 + 1)**: This expands to 5*4 = 20, which represents the total area of the two mazes. **(This is correct)**

D. **(5) (3) + (5) (1)**: This expands to 15 + 5 = 20, which represents the total area of the two mazes. **(This is correct)**

E. **3 + (5 + 1)**: This adds up to 3 + 6 = 9, which does not equal the total area of 20. **(This is incorrect)**

**Correct options are: A, C, and D.**