Question

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 14 more than three times the length of the bottom of the triangle. The last side is 15 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.

Answer 1

P = 5x + 29

Explanation:

Let's call the length of one side of the triangle "a".

According to the problem, another side is 14 more than three times the length of the bottom of the triangle, so it can be expressed as 3x + 14.

The last side is 15 more than the bottom of the triangle, so it can be expressed as x + 15.

The perimeter of the triangle is the sum of all three sides, so:

P = x + (3x + 14) + (x + 15)

Simplifying:

P = 5x + 29