Considering the perimeter concept, we have that:
- Danielle's mistake is that she did not consider two outside edges, one of length 6x - 4 and the other of length 12x + 3.
- The correct perimeter, in feet, is: P = 50x + 27.
<h3>What is the perimeter of a polygon?</h3>
The perimeter of a polygon is given by the sum of all the lengths of the outside edges of the polygon.
For this problem, the outside edges are given as follows:
- 2 of 6x - 4, due to the isosceles triangle.
- 2 of 12x + 3, due to the rectangle.
- 1 of 14x + 13, also due to the rectangle, and only one, because of the other part of the rectangle with the same length is internal to the prism;
Danielle's mistake is that she did not consider two outside edges, one of length 6x - 4 and the other of length 12x + 3. Considering all the edges, the perimeter is given by:
P = 2(6x - 4) + 2(12x + 3) + 14x + 13
P = 12x - 8 + 24x + 6 + 14x + 13
P = 12x + 24x + 14x + 8 + 6 + 13
P = 50x + 27.
More can be learned about the perimeter of a polygon at brainly.com/question/3310006
#SPJ1
