SOLUTION: Find the perimeter of a triangle if one side is 11 centimeters, another side is one-fifth the perimeter, and the third side is one-fourth the perimeter

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Question 9477: Find the perimeter of a triangle if one side is 11 centimeters, another side is one-fifth the perimeter, and the third side is one-fourth the perimeter
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Let P = Perimeter of the triangle, which is the sum of three sides

11= first side
%281%2F5%29+P = second side
+%281%2F4%29+P+ = third side

11+%2B+%281%2F5%29P+%2B+%281%2F4%29P+=+P+

Multiply both sides by the LCD, which is 20.
20%2A11+%2B+20%2A%281%2F5%29%2AP+%2B+20%2A%281%2F4%29%2AP+=+20%2AP+
220+%2B+4P+%2B+5P+=+20P+
220+%2B+9P+=+20P
220+=+11P
20+=+P

Perimeter = 20 centimeters

R^2 at SCC