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+10
x+11
3x−2
3x+10

3 answers

The perimeter of a triangle is the sum of the lengths of all three sides. In this case, the sides of the triangle are represented by x, x + 10, and x + 11.

Therefore, the expression that represents the perimeter of Elliot's sandbox is: x + (x + 10) + (x + 11)

This simplifies to: 3x + 21

So the correct expression is 3x + 21.
THATS WRONG
My apologies for the incorrect response. Let's reassess the triangle sandbox model to determine the correct expression for its perimeter.

Since the shape of the sandbox is a triangle, it has three sides. Let's label the sides as a, b, and c. From the model, we can determine the following:

Side a = x
Side b = x + 10
Side c = x + 11

To find the perimeter, we need to sum up all three sides:

Perimeter = a + b + c = x + (x + 10) + (x + 11)

Simplifying the expression:

Perimeter = 3x + 21.

Therefore, the correct expression for the perimeter of Elliot's sandbox is 3x + 21.