To find the perimeter of the dilated triangle, you first need to calculate the side lengths of the new triangle after dilation using the scale factor.
The original side lengths of the triangle are:
- 11 inches
- 9 inches
- 28 inches
Using the scale factor of 13, the new side lengths will be:
- New side 1: \( 11 \times 13 = 143 \) inches
- New side 2: \( 9 \times 13 = 117 \) inches
- New side 3: \( 28 \times 13 = 364 \) inches
Now, add up the new side lengths to find the perimeter of the dilated triangle: \[ \text{Perimeter} = 143 + 117 + 364 = 624 \text{ inches} \]
Thus, the perimeter of the dilated triangle is \( \text{624 inches} \).