Question

A triangle has side lengths of (7n-2p) centimeters, (2n+4q) centimeters, and (q-5p) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answer 1

It is 9n - 7p + 5q

Explanation:

Perimeter formular:

`perimeter = (side + side + side)`

substitute:

`p = \{(7n - 2p) + (2n + 4q) + (q - 5p) \} \\`

group like terms together:

`= (7n + 2n) + ( - 2p - 5p) + (4q + q) \\ = 9n - 7p + 5q`