Five students each wrote an expression to represent the perimeter of the given rectangle. Terrell wrote this correct expression:(2x+2x)+(5x+5x)+(1+1).
The correct expression written by Terrell is 2x + 2x + 5x + 5x + 1 + 1.
Terrell correctly wrote the expression: (2x + 2x) + (5x + 5x) + (1 + 1) to represent the perimeter of the rectangle.
To find the perimeter of a rectangle, you need to add up all four sides of the rectangle.
In this case, Terrell wrote the expression (2x+2x)+(5x+5x)+(1+1) to represent the perimeter.
To simplify the expression, you can combine like terms.
First, let's simplify (2x+2x). Since the two terms have the same variable (x), we can add their coefficients (2+2) to get 4. So, (2x+2x) simplifies to 4x.
Similarly, (5x+5x) simplifies to 10x as the coefficients add up to 10.
Lastly, (1+1) equals 2.
Now, substituting the simplified expressions back into the original expression, we have 4x + 10x + 2.
To find the final perimeter, we can add up these three terms: 4x + 10x + 2.
Combining the x terms (4x and 10x), we get 14x.
So, the final expression for the perimeter is 14x + 2.