Question

A triangle has side lengths of (5n + 3p) centimeters, (9n + 8q) centimeters, and (6q + 9q) centimeters. Which expression represents the perimeter, in centimeters of the triangle

Answer 1

Explanation:

The expression that represents the perimeter of the given triangle in centimeters is; 14n + 10p + 14q

What is the perimeter of the triangle?

We are given the side lengths of the triangle as;

5n + p; 9n + 8q; 6q + 9p

Now, the formula for perimeter of a triangle is;

Perimeter = a + b + c

where a, b and c are side lengths of the triangle. Thus;

Perimeter = 5n + p + 9n + 8q + 6q + 9p

Perimeter = 14n + 10p + 14q

In conclusion, we can sa that the perimeter of the given triangle is 14n + 10p + 14q.