Question

A triangle has side lengths of (5.9d - 1.18) centimeters, (3.4d - 9.1g) centimeters, and (8.1g - 9.3f) centimeters. Which expression represents the perimeter, in centimeters, of the triangle? A. 9.30 - 9 - 10.45 B. 0 - 19.5fg + 17.4dg C. 0 - 5.7dg - 1.2fg + 4.8df D. -18.4g + 7f + 9.3d

Answer 1

The expression that represents the perimeter, in centimeters, of the triangle is option D: -18.4g + 7f + 9.3d.

Step-by-step explanation:

The expression that represents the perimeter, in centimeters, of the triangle is option D: -18.4g + 7f + 9.3d.

To find the perimeter, we need to add up the three side lengths of the triangle:

1. Add (5.9d - 1.18) + (3.4d - 9.1g) + (8.1g - 9.3f)
2. Simplify the expressions: 5.9d + 3.4d + 8.1g - 1.18 - 9.1g - 9.3f
3. Combine like terms: (5.9d + 3.4d) + (8.1g - 9.1g) - 9.3f - 1.18
4. Further simplify: 9.3d - 0.8g - 9.3f - 1.18

The final expression is -18.4g + 7f + 9.3d, which represents the perimeter of the triangle.

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