The length of the purple trim needed to outline the given pennant is (5x - 30) cm.
Step-by-step explanation:
Step 1:
To determine the length of purple trim needed to outline the given pennant we determine the perimeter of the triangle.
The perimeter of a triangle is the sum of the individual side lengths.
For the given triangle, the side lengths are [tex]x[/tex] cm, [tex](2x-15)[/tex] cm, and [tex](2x-15)[/tex] cm.
The perimeter is the sum of these three sides.
Step 2:
The perimeter of the pennant[tex]= x + (2x-15)+ (2x-15)= x +2x-15+2x-15.[/tex]
[tex]x +2x-15+2x-15 = 5x -30[/tex] cm.
The length of the purple trim needed to outline the given pennant is (5x - 30) cm.
