Question

A triangle has side lengths of (5.5x +6.2y) centimeters, (4.3x + 8.3z) centimeters, and

(1.6z - 5.1y) centimeters. Write the most simplified expression to represent the perimeter, in centimeters of the triangle. Show all work.

please explain the process

Answer 1

`9.8x+1.1y+9.9z=p\\p=perimeter`

Explanation:

First off, you list of the like terms together.

Here are the x terms; 5.5x, 4.3x

Here are the y terms; 6.2y, -5.1y

Here are the z terms; 8.3z, 1.6z

Now, you just add the like terms.

`5.5x+4.3x=9.8x\\6.2y-5.1y=1.1y\\8.3z+1.6z=9.9z`

Finally, you just put them all together into the final equation;

`9.8x+1.1y+9.9z=p\\p=perimeter`