Question

1. this model shows the area of a field. write two expressions that represent the area.

x x x x x x 1 1 1 1 1 1 1 1 1 1 1 1

Explanation:

Step1: Count the number of \( x \) and \( 1 \) tiles

There are 6 tiles with \( x \) and 12 tiles with \( 1 \).

Step2: First expression (sum of parts)

The area can be represented as the sum of the area from the \( x \)-tiles and the \( 1 \)-tiles. So, the first expression is \( 6x + 12 \).

Step3: Second expression (factor out common term)

We can factor out 6 from the first expression. \( 6x + 12 = 6(x + 2) \).

Answer:

Two expressions representing the area are \( 6x + 12 \) and \( 6(x + 2) \) (answers may vary depending on factoring or other valid operations, but these are common valid expressions).