Janelle wants to enlarge a square graph that she has made so that a side of the new graph will be 1 inch more than twice the original side s. What trinomial represents the area of the enlarged graph?

To find the trinomial that represents the area of the enlarged graph, we need to understand the relationship between the side length of the original square and the side length of the enlarged square.

Let's call the side length of the original square s.

According to the problem, the side length of the enlarged square will be 1 inch more than twice the original side length. So, the side length of the enlarged square can be represented as 2s + 1.

Now, to find the area of a square, we multiply its side length by itself.

The area of the original square is s * s = s^2.

The area of the enlarged square is (2s + 1) * (2s + 1) = (2s + 1)^2.

Expanding the trinomial (2s + 1)^2:
(2s + 1) * (2s + 1) = 4s^2 + 2s + 2s + 1 = 4s^2 + 4s + 1

Therefore, the trinomial that represents the area of the enlarged graph is 4s^2 + 4s + 1.

To find the trinomial that represents the area of the enlarged graph, we need to understand the given information. Let's break down the problem step by step.

1. Let's consider the original square's side as "s."
2. According to the problem, Janelle wants to enlarge the graph so that a side of the new square will be 1 inch more than twice the original side.
- The new side length can be represented as (2s + 1).
3. Area of a square is calculated by multiplying the side length by itself.
- The area of the enlarged square can be represented as (2s + 1) * (2s + 1).

Now, let's simplify this expression to obtain the trinomial representing the area of the enlarged graph:

(2s + 1) * (2s + 1)
= 4s^2 + 2s + 2s + 1
= 4s^2 + 4s + 1

Therefore, the trinomial that represents the area of the enlarged graph is 4s^2 + 4s + 1.

(s+1)^2 = s^2 + 2s + 1

(s+1)(s+1) = s^2 + s + s + 1

that equals s^2 + 2s + 1.

you are absolutely correct! good job!