Question

A triangle has side lengths of (6.2v-5.5)(6.2v−5.5) centimeters, (8.5v-6.7)(8.5v−6.7) centimeters, and (6.6w+7.6)(6.6w+7.6) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answer 1

Given:

Side lengths of triangle are (6.2v-5.5) cm, (8.5v-6.7) cm, and (6.6w+7.6) cm.

To find:

The expression which represents the perimeter of the given triangle.

Solution:

We know that perimeter of a triangle is the sum of all sides of a triangle. So,

$Perimeter=(6.2v-5.5)+(8.5v-6.7)+(6.6w+7.6)$

On combining like terms, we get

$Perimeter=(6.2v+8.5v)+6.6w+(-5.5-6.7+7.6)$

$Perimeter=14.7v+6.6w+(-4.6)$

$Perimeter=14.7v+6.6w-4.6$

Therefore, the perimeter of the triangle is $14.7v+6.6w-4.6$.