Question

Find the perimeter of the given triangle.

3x + 2
8x + 7
4x - 7

a. 96x - 98
b. 15x + 2
c. 15x + 16
d. 16x + 4

Answer 1

To find the perimeter of the triangle, we need to add the lengths of all three sides together.

The sides of the triangle are:
1. \(3x + 2\)
2. \(8x + 7\)
3. \(4x - 7\)

Now, we will add these expressions:

\[
\text{Perimeter} = (3x + 2) + (8x + 7) + (4x - 7)
\]

Combining like terms:

1. Combine the \(x\) terms:
\[
3x + 8x + 4x = 15x
\]

2. Combine the constant terms:
\[
2 + 7 - 7 = 2
\]

Putting it all together, the perimeter is:

\[
\text{Perimeter} = 15x + 2
\]

The correct answer is:

**b. \(15x + 2\)**