A triangular-shaped deck has one side that is 6 feet longer than the shortest side and a third side that is 6 feet shorter than twice the length of the short side. If the perimeter of the deck is 76 feet, what are the lengths of the three sides? The shortest side of the deck is (Simplify your answer.) The next-longest side of the deck is (Simplify your answer.) The longest side of the deck is (Simplify your answer.)

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter10: Quadratic Equations
Section10.4: Solve Applications Modeled By Quadratic Equations
Problem 160E: A city planner wants to build a bridge across a lake in a park. To find the length of the bridge, he...
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A triangular-shaped deck has one side that is 6 feet longer than the shortest side and a third side that is 6 feet shorter than twice the length of the short
side. If the perimeter of the deck is 76 feet, what are the lengths of the three sides?
The shortest side of the deck is
(Simplify your answer.)
The next-longest side of the deck is
(Simplify your answer.)
The longest side of the deck is
(Simplify your answer.)
Transcribed Image Text:A triangular-shaped deck has one side that is 6 feet longer than the shortest side and a third side that is 6 feet shorter than twice the length of the short side. If the perimeter of the deck is 76 feet, what are the lengths of the three sides? The shortest side of the deck is (Simplify your answer.) The next-longest side of the deck is (Simplify your answer.) The longest side of the deck is (Simplify your answer.)
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