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 . Another side is 8 more than times the length of the bottom of the triangle. The last side is more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.

Answer 1

To find the perimeter of the triangle, you need to add up the lengths of all three sides of the triangle.

Let's call the length of the bottom of the triangle x. The length of another side of the triangle is 8 more than 3 times the length of the bottom of the triangle, or 3x + 8. The last side of the triangle is y, where y is more than x.

The perimeter of the triangle can be expressed as:

x + (3x + 8) + y

Simplifying this expression gives:

4x + 8 + y

Therefore, the perimeter of the triangle can be expressed as the sum of 4 times the length of the bottom of the triangle, 8, and the length of the last side of the triangle, y.