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
A x+11
B 3x-2
C x+10
D 3x + 10
The perimeter is the total sum of the lengths of all the sides. Since the sandbox is in the shape of a triangle, it has 3 sides.
Looking at the model, each side is labeled as x.
Therefore, the perimeter of Elliot's sandbox is:
x + x + x = 3x.
The correct answer is D.
To find the perimeter of the sandbox, we need to add up the lengths of all three sides of the triangle.
Since the expression for each side of the triangle is x, the perimeter will be:
x + x + x = 3x
Additionally, there is an extra length of 10 units added to the perimeter. Therefore, the correct expression that represents the perimeter of Elliot's sandbox is:
D) 3x + 10
To find the perimeter of a triangle, you need to add up the lengths of all three sides.
In this case, the model of the sandbox is shown as a triangle, but we need to know the values of the sides.
Since we don't have any specific measurements mentioned in the question, let's analyze the answer choices:
A) x + 11
B) 3x - 2
C) x + 10
D) 3x + 10
From these options, we can see that two choices have a coefficient of 3 (B and D). Since a triangle has three sides, it is likely that the correct perimeter expression will have a coefficient of 3.
Between B and D, B has a subtraction operation (-), which would result in a smaller value compared to addition. However, it is highly unlikely for a triangle's side lengths to be negative.
Therefore, the most reasonable expression for the perimeter of the sandbox is option D: 3x + 10.