Question

A triangle has side lengths of (7.8v+2.6)(7.8v+2.6) centimeters, (5.3v+4.5)(5.3v+4.5) centimeters, and (2.4w-6.7)(2.4w−6.7) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answer 1

Given:

A triangle has side lengths of (7.8v+2.6) centimeters, (5.3v+4.5) centimeters, and (2.4w-6.7) centimeters.

To find:

The expression which represents the perimeter, in centimeters, of the triangle.

Solution:

We know that

Perimeter of a triangle = Sum of length of all sides of the triangle

$Perimeter=(7.8v+2.6)+(5.3v+4.5)+(2.4w-6.7)$

Now, combine like terms.

$Perimeter=(7.8v+5.3v)+(2.4w)+(2.6+4.5-6.7)$

$Perimeter=13.1v+2.4w+0.4$

Therefore, the expression for perimeter, in centimeters, of the triangle is $13.1v+2.4w+0.4$.