Question

Can someone help me how to set it up and get the answer

Answer 1

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 $x$ cm, $(2x-15)$ cm, and $(2x-15)$ cm.

The perimeter is the sum of these three sides.

Step 2:

The perimeter of the pennant$= x + (2x-15)+ (2x-15)= x +2x-15+2x-15.$

$x +2x-15+2x-15 = 5x -30$ cm.

The length of the purple trim needed to outline the given pennant is  (5x - 30) cm.