A triangle has side lengths of left bracket, 5, k, minus, 3, right bracket(5k−3) centimeters, left bracket, k, plus, 1, right bracket(k+1) centimeters, and left bracket, m, minus, 7, right bracket(m−7) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
−6m+4k
6, k, minus, 6, m, minus, 26k−6m−2
minus, 6, m, plus, 2, k, plus, 2−6m+2k+2
m, minus, 9, plus, 6, km−9+6k
To find the perimeter of the triangle, we simply add the lengths of its sides. The sides of the triangle are given as:
1. (5k−3) centimeters
2. (k+1) centimeters
3. (m−7) centimeters
Now, summing up these expressions, we get the perimeter (P):
P = (5k−3) + (k+1) + (m−7)
Combine like terms to simplify the expression:
P = 5k + k + m - 3 + 1 - 7
P = 6k + m - 9
Thus, the expression representing the perimeter of the triangle in centimeters is:
6k + m - 9
Therefore, the correct answer from the given options is:
m, minus, 9, plus, 6, k ↔ m − 9 + 6k