The problem asks for the perimeter of a polygon, given that one of its sides, $x$, is equal to 5. The other sides are 15, 6, and 4.

1. Problem Description

The problem asks for the perimeter of a polygon, given that one of its sides, $x$, is equal to

5. The other sides are 15, 6, and

4.

2. Solution Steps

The perimeter of a polygon is the sum of the lengths of its sides. In this case, the polygon has four sides with lengths $x = 5$, 15, 6, and

4. So, the perimeter $P$ can be calculated as:

$P = x + 15 + 6 + 4$

Substituting $x = 5$:

$P = 5 + 15 + 6 + 4$

$P = 20 + 10$

$P = 30$

3. Final Answer

The perimeter of the polygon is 30.