SOLUTION: The second side of a triangular deck is 5 feet longer than the shortest side and a third side that is 5 feet shorter than twice the length of the shortest side. If the perimeter of
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Question 945561: The second side of a triangular deck is 5 feet longer than the shortest side and a third side that is 5 feet shorter than twice the length of the shortest side. If the perimeter of the deck is 64 feet, what are the lengths of the three sides?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
let shortest side =S; second side =S+5 ft; third side=2S-5 ft
Perimeter=sum of sides=64 ft
64 ft=(S)+(S+5)+(2S-5)
64 ft=4S Divide each side by 4
16 ft=S ANSWER 1: The short side is 16 feet.
second side=S+5=21 ft ANSWER 2: The second side is 21 feet.
third side=2S-5=32-5=27 feet ANSWER 3: The third side is 27 feet.
CHECK
Perimeter is 64 feet
16 ft+21 ft+27 ft=64 ft
64 ft=64 ft
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