Question

A triangle has side lengths of left bracket, 5, m, minus, 2, n, right bracket(5m−2n) centimeters, left bracket, 7, m, plus, 10, p, right bracket(7m+10p) centimeters, and left bracket, 8, p, minus, 9, n, right bracket(8p−9n) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answer 1

`18p+12m-11n`

Explanation:

To find perimeter of a triangle we add all 3 sides so we do the same here

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

Set the like terms next to each other

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

Combine like terms

`12m-11n+18p`

I will rearrange this as an option choice

`18p+12m-11n`

Therefore the first option is correct

Hope this helps please let me know if you have any further questions