Question

A triangle has side lengths of (6.5r+4.2)(6.5r+4.2) centimeters, (2.4r-9.8)(2.4r−9.8) centimeters, and (9.5s-5.2)(9.5s−5.2) centimeters.What is the perimeter of the triangle with side lengths (6.5r+4.2) cm, (2.4r-9.8) cm, and (9.5s-5.2) cm? A) 18.4r + 15.2s cm B) 18.4r - 9.8s cm C) 18.4r + 9.8s cm D) 6.5r + 2.4r + 9.5s cm

Answer 1

The perimeter of the triangle with side lengths (6.5r+4.2) cm, (2.4r-9.8) cm, and (9.5s-5.2) cm is 8.9r + 9.5s - 10.8 cm.

Option (D) is true.

Explanation:

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

In this case, the side lengths are given as algebraic expressions.

The first side length is (6.5r+4.2) cm, the second side length is (2.4r-9.8) cm, and the third side length is (9.5s-5.2) cm.

To find the perimeter, we add up these three side lengths:

Perimeter = (6.5r+4.2) cm + (2.4r-9.8) cm + (9.5s-5.2) cm

Simplifying, we combine like terms:

Perimeter = 6.5r + 2.4r + 9.5s + 4.2 - 9.8 - 5.2

Perimeter = 8.9r + 9.5s - 10.8 cm

Therefore,

Option (D) is true.