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 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

Let x be the length of the bottom of the triangle. Then, the second side has a length of more than x * k, where k is some number greater than 1. And the third side has a length of more than x.

The perimeter of the triangle can be represented by the expression:

P = x + (x * k) + (x + y), where y is a positive number that represents the difference between the length of the third side and the length of the bottom of the triangle.

Simplifying the expression:

P = x * (1 + k) + (x + y) = x * (k + 1) + y.

This expression represents the perimeter of the triangle in terms of the length of the bottom of the triangle and the unknown values