Question

Write the following as an algebraic expression. Then simplify.

The perimeter of a triangle whose sides are of lengths 3x, 3x +3, and x.

Answer 1

Answer: A. 7x + 3

Concept:

Here, we need to know how to find the perimeter of a triangle

Perimeter (triangle) = s₁ + s₂ + s₃

s₁ = side one

s₂ = side two

s₃ = side three

Solve:

Given information

s₁ = 3x

s₂ = 3x + 3

s₃ = x

Given expression

P = s₁ + s₂ + s₃

Substitute values into the expression

P = (3x) + (3x + 3) + (x)

Combine like terms

P = (3x + 3x + x) + (3)

P = (6x + x) + 3

`\boxed{P_(triangle)=7x+3}`

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