Question

design. an art class is making a mural for their school which has a triangle drawn in the middle. the length of the bottom of the triangle is x. another side is 3 more than two times the length of the bottom of the triangle. the last side is 8 more than the bottom of the triangle. write and simplify an expression for the perimeter of the triangle.
what is the expression for the perimeter of the triangle?
(simplify your answer.)

Explanation:

Step1: Identify the sides

Let the bottom side be \( x \). The second side is \( 2x + 3 \) (3 more than two times \( x \)). The third side is \( x + 8 \) (8 more than \( x \)).

Step2: Calculate the perimeter

Perimeter of a triangle is the sum of all sides. So, perimeter \( P = x + (2x + 3) + (x + 8) \).

Step3: Simplify the expression

Combine like terms: \( x + 2x + x + 3 + 8 = 4x + 11 \).

Answer:

\( 4x + 11 \)