Question

An art class is making a mural for their school which has a traingle drawn in the middle. The length of the bottom of the traingle is x . Another side is 8 more than four times the length of the bottom of the triangle. The last side is 13 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the traingle

Answer 1

The expression for the perimeter of the triangle is 6x + 21.

The triangle in the mural has three sides.

Let's start by assigning variables to the sides of the triangle:

Let x = length of the bottom of the triangle

One side = 8 + 4x

Another side = x + 13

The perimeter of a triangle is the sum of the lengths of its sides. So, to find the perimeter, we add up the lengths of the three sides:

Perimeter = x + (8 + 4x) + (x + 13)

To simplify the expression, combine like terms:

Perimeter = 6x + 21

So, the simplified expression for the perimeter of the triangle is 6x + 21.