Solve for d

6d - 11/2 = 2d - 13/2

3 feet, 4 feet, and 5 feet

Step-by-step explanation:

Since, when a triangle is enlarged by a scale factor then its perimeter also increases by the same factor.

Given,

The triangle is enlarged by a factor of 3,

The perimeter of the new triangle = 36 ft,

If x be the perimeter of the original triangle,

Thus, by the above statement,

So, the perimeter ( sum of all sides ) of the original triangle is 12 ft,

Since, 3 + 4 + 5 = 12

1.5 + 1.25 + 1.25 ≠ 12

2 + 0.5 + 1.8 ≠ 12,

4 + 4 + 3 ≠ 12,

Therefore, the possible lengths of the sides of the original triangle are,

3 feet, 4 feet, and 5 feet