Question

A triangle has side lengths of (4.7a-6.2b) centimeters, (6.3a+5.1c) centimeters, and (1.6c-4.9b) centimeters. Write an expression (in the simplest form) to represent the perimeter of the triangle.

Answer 1

11a - 11.1b + 6.7c

Explanation:

The perimeter is the sum of the lengths of the sides:

(4.7a-6.2b) +(6.3a+5.1c) +(1.6c-4.9b)

= a(4.7 +6.3) +b(-6.2 -4.9) +c(5.1 +1.6)

= 11a - 11.1b + 6.7c