Question

Arsh Patel Combine Like Terms (Basic, Integers ) Jan 10, 1:42:11 PM Watch help video A triangle has side lengths of (5m-2n) centimeters, (7m+10p) centimete and (8p-9n) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answer 1

The perimeter of the triangle can be found by combining like terms of the side lengths (5m-2n), (7m+10p), and (8p-9n), resulting in the expression 12m + 18p - 11n centimeters.

Step-by-step explanation:

To find the perimeter of a triangle with side lengths (5m-2n) centimeters, (7m+10p) centimeters, and (8p-9n) centimeters, you combine the like terms. The perimeter is the sum of all three side lengths, so you simply add these three expressions together:

(5m-2n) + (7m+10p) + (8p-9n)

Combine the terms that contain the same variables:

• For 'm': 5m + 7m = 12m
• For 'p': 10p + 8p = 18p
• For 'n': -2n - 9n = -11n

Now, combine these results to get the expression for the perimeter:

Perimeter = 12m + 18p - 11n

This expression represents the triangle's perimeter in centimeters.