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

Question

x x+4 x+6

A. 3x-2

B. x+11

C.3x+10

D.x+10

Answer 1

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.