Question

A triangle has side lengths of (6p – 7) centimeters, (7p – 2) centimeters,

and (6q – 9) centimeters. Which expression represents the perimeter, in
centimeters, of the triangle?

Answer 1

A triangle has side lengths of (6p – 7) centimeters, (7p – 2) centimeters, and (6q – 9) centimeters.

To find:

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

Answer:

-18+13p+6q

(Also got it right on a test)

Answer 2

Given:

A triangle has side lengths of (6p – 7) centimeters, (7p – 2) centimeters,

and (6q – 9) centimeters.

To find:

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

Solution:

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

`Perimeter=(6p-7)+(7p-2)+(6q-9)`

Combining like terms, we get

`Perimeter=(6p+7p)+6q+(-7-2-9)`

`Perimeter=(13p)+6q+(-18)`

`Perimeter=13p+6q-18`

Therefore, the perimeter of the triangle is represented by the expression
`13p+6q-18` centimeters.