For a class project, Zachary made a square-shaped model of the park near his house. Each side of his model is x inches long.
Pick all the expressions that represent the perimeter of Zachary's model.
4=x
x^4
4x
x+x+x+x
The perimeter of a square is the sum of the lengths of all four sides. Since each side of Zachary's model is x inches long, the expressions that represent the perimeter of his model are:
4x (because there are four sides and each side is x inches)
x + x + x + x (because this is simply adding the length of each side)
Hence, the correct expressions from the options provided are:
4x
x + x + x + x
The expressions "4=x" and "x^4" do not represent the perimeter. "4=x" is an equation suggesting that 4 equals x, which doesn't describe the perimeter. "x^4" represents x raised to the fourth power, which is not the same as adding the sides of the square.
Can you please pick one
Certainly! If you need to pick just one expression that represents the perimeter of Zachary's square model, the most standard and concise representation would be:
**4x**
This expression denotes that each of the four sides of the square has a length of x inches, and when you add all four sides together, you get the perimeter.
To determine the expressions that represent the perimeter of Zachary's model, we need to remember that the perimeter of a square is the sum of all its sides.
Given that each side of Zachary's model is x inches long, we can conclude that the perimeter is represented by the sum of all four sides.
Therefore, the expressions that represent the perimeter of Zachary's model are:
- 4x: This expression represents adding all four sides of the square (x + x + x + x), which simplifies to 4x.
- x + x + x + x: This expression directly represents adding all four sides of the square.
Hence, the correct expressions are 4x and x + x + x + x.