Question

A triangle has side lengths of left bracket, 6, point, 9, v, minus, 5, point, 7, right bracket(6.9v−5.7) centimeters, left bracket, 4, point, 9, v, minus, 2, point, 4, right bracket(4.9v−2.4) centimeters, and left bracket, 5, point, 7, w, plus, 7, point, 2, right bracket(5.7w+7.2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answer 1

The expression that represents the perimeter of the triangle is 11.8v + 5.7w − 0.9 centimeters.

Step-by-step explanation:

The perimeter of a triangle is the sum of the lengths of its sides. Given that the triangle has side lengths of (6.9v−5.7) centimeters, (4.9v−2.4) centimeters, and (5.7w+7.2) centimeters, we can find the expression for the perimeter as follows:

Perimeter = (6.9v−5.7) + (4.9v−2.4) + (5.7w+7.2)

Simplifying the expression:

Perimeter = 6.9v + 4.9v + 5.7w − 5.7 − 2.4 + 7.2

Perimeter = 11.8v + 5.7w − 0.9

Therefore, the expression that represents the perimeter of the triangle is 11.8v + 5.7w − 0.9 centimeters.