Elliot is building a sandbox in the shape of a triangle. A model of the sandbox is shown. Which expression represents the perimeter of Elliot's sandbox
x x+4 x+6
A. 3x-2
B. x+11
C.3x+10
D.x+10
The perimeter of a triangle is the sum of the lengths of all three sides.
In this case, the lengths of the sides of the sandbox are x, x + 4, and x + 6.
To find the perimeter, we add the three side lengths:
Perimeter = x + (x + 4) + (x + 6)
Simplifying the expression, we can combine like terms:
Perimeter = 3x + 10
So, the expression that represents the perimeter of Elliot's sandbox is 3x + 10, which corresponds to answer choice D.
To find the perimeter of Elliot's sandbox, we need to add up the lengths of all three sides of the triangle.
The three sides are x, x+4, and x+6.
The expression that represents the perimeter is:
Perimeter = x + (x+4) + (x+6)
Simplifying the expression:
Perimeter = x + x + 4 + x + 6
Perimeter = 3x + 10
Therefore, the correct expression that represents the perimeter of Elliot's sandbox is:
C. 3x + 10
To find the perimeter of the sandbox, we need to add up the lengths of all three sides. Looking at the model, we see that the three sides are labeled as x, x+4, and x+6.
To represent the perimeter, we need to add up these three expressions:
x + (x+4) + (x+6)
Simplifying this expression, we combine like terms:
x + x + 4 + 6
This equals:
3x + 10
Therefore, the expression that represents the perimeter of Elliot's sandbox is:
C. 3x+10