SOLUTION: THIS IS THE QUESTION FROM MY BOOK: FIND THE LENGTH OF EACH SIDE OF THE POLYGON FOR THE GIVEN PERIMETER. P=84 AND THE SIDES ARE 8X+3, 6X+4, 6X-3. PLEASE HELP ME.

Algebra ->  Expressions-with-variables -> SOLUTION: THIS IS THE QUESTION FROM MY BOOK: FIND THE LENGTH OF EACH SIDE OF THE POLYGON FOR THE GIVEN PERIMETER. P=84 AND THE SIDES ARE 8X+3, 6X+4, 6X-3. PLEASE HELP ME.      Log On


   

Question 119874This question is from textbook GEOMETRY
: THIS IS THE QUESTION FROM MY BOOK: FIND THE LENGTH OF EACH SIDE OF THE POLYGON FOR THE GIVEN PERIMETER. P=84 AND THE SIDES ARE 8X+3, 6X+4, 6X-3. PLEASE HELP ME. This question is from textbook GEOMETRY

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
To begin with, please stop writing your questions in ALL CAPS. It is impolite, annoying, and is the electronic equivalent of shouting.

The perimeter of a polygon is the sum of the lengths of the sides. You have expressions for the lengths of the three sides of this polygon, so add them together:

%288x%2B3%29%2B%286x%2B4%29%2B%286x-3%29=84 and the sum is 84 because you are told the perimeter is 84.

Now simplify by collecting like terms:

%288x%2B6x%2B6x%29%2B%283%2B4-3%29=84

20x%2B4=84

Add -4 to both sides

20x%2B4-4=84-4
20x=80

Divide by 20

20x%2F20=80%2F20
x=4

Now that we know x, we can go about computing the lengths of the three sides:

Side 1: 8x%2B3=8%284%29%2B3=32%2B3=35

Side 2: 6x%2B4=6%284%29%2B4=24%2B4=28

Side 3: 6x-3=6%284%29-3=24-3=21

And there are your three answers.

Final step. Check your answer. We need to determine if the sum of our answers is actually 84 as the problem stated:

35%2B28%2B21=84, Done.

Hope that helps,
John