Question

A triangle has side lengths of (7r-10) centimeters, (5r+5) centimeters, and (s+8) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

1) (7r-10) + (5r+5) + (s+8)
2) 7r-10 + 5r+5 + s+8
3) 7r-10 + 5r+5 + s+8 + 7r-10
4) 7r-10 + 5r+5 + s+8 + 7r-10 + 5r+5 + s+8

Answer 1

The expression that represents the perimeter of the triangle is (7r-10) + (5r+5) + (s+8) (Option 1). To find the perimeter, add up the lengths of all three sides of the triangle.

Step-by-step explanation:

The expression that represents the perimeter of the triangle is (7r-10) + (5r+5) + (s+8) (Option 1).

To find the perimeter, we add up the lengths of all three sides of the triangle. So, we add (7r-10), (5r+5), and (s+8) together to get the total perimeter.

For example, let's say r = 2 and s = 3. Plugging these values into the expression, we get (7(2)-10) + (5(2)+5) + (3+8) = 4 + 15 + 11 = 30. Therefore, the perimeter of the triangle is 30 centimeters.