Question

find the perimeter. simplify your answer.
10b+2
7b-6
8b

Explanation:

Step1: Recall perimeter formula for triangle

The perimeter \( P \) of a triangle is the sum of its three sides. So, \( P=(10b + 2)+(7b-6)+(8b) \).

Step2: Combine like terms

First, combine the \( b \)-terms: \( 10b+7b + 8b=(10 + 7+8)b = 25b \).
Then, combine the constant terms: \( 2-6=-4 \).

Step3: Write the simplified perimeter

Adding the results from Step 2, we get \( P = 25b-4 \).

Answer:

\( 25b - 4 \)