Respuesta :

sqdancefan

Answer:

  (a)  (3x +1)(x +1)

Step-by-step explanation:

The values of the factors are represented by the horizontal and vertical dimensions of the area. In each direction, we have a "blue" dimension, and a "red" dimension.

Horizontally, we have a dimension of (3 × blue + 1 × red).

Vertically, we have a dimension of (1 × blue + 1 × red).

We can assign blue = 1, red = x, and we would have (3 +x)(1 +x). This does not match any answer choices.

We can also assign blue = x, red = 1, and we would have (3x +1)(x +1). This matches the first answer choice.

jayilych4real

The product which is represented by the algebra tiles is (a)  (3x +1)(x +1)

What is Algebra?

This refers to the branch of mathematics where letters and symbols are used to represent numbers.

Hence, we can see that from the given image, there are different values which shows the horizontal and vertical dimensions of the area and from the:

  • First dimension horizontally, we have (3 × blue + 1 × red)
  • Second dimension vertically, we have (1 × blue + 1 × red).

Hence, if we represent the values of blue = 1, red = 1, then it would produce (3x +1)(x +1) and this is the correct answer.

Read more about algebra here:
https://brainly.com/question/19566504