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.
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-> 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.
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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
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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:
and the sum is 84 because you are told the perimeter is 84.
Now simplify by collecting like terms:
Add -4 to both sides
Divide by 20
Now that we know x, we can go about computing the lengths of the three sides:
Side 1:
Side 2:
Side 3:
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: