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

Answer:

It is 9n - 7p + 5q

Step-by-step explanation:

Perimeter formular:

$perimeter = (side + side + side)$

substitute:

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

group like terms together:

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