Question

A triangle has side lengths of 3.9b−3.4 centimeters, 9.5b+6.4 centimeters, and 4.1c+5.8 centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

A) 17.5b+8.8+4.1c
B) 17.5b+8.8−4.1c
C) 17.5b+8.8+4.1c−3.4
D) 3.9b+9.5b+4.1c+8.8

Answer 1

The perimeter of the triangle with given side lengths is the sum of the sides, which is calculated as 13.4b + 4.1c + 8.8 centimeters.

Step-by-step explanation:

To find the perimeter of a triangle with the given side lengths, you simply need to add up the lengths of all sides. Here, the side lengths given are 3.9b−3.4 cm, 9.5b+6.4 cm, and 4.1c+5.8 cm. Adding these expressions together without modifying them gives us the total perimeter.

The sum of the side lengths will be:

(3.9b−3.4) + (9.5b+6.4) + (4.1c+5.8) = 3.9b + 9.5b + 4.1c - 3.4 + 6.4 + 5.8

Combining like terms, the expression for the perimeter is:

3.9b + 9.5b + 4.1c + (-3.4 + 6.4 + 5.8)

13.4b + 4.1c + 8.8

Therefore, the correct expression for the perimeter of the triangle is 13.4b + 4.1c + 8.8 centimeters.