please help

 

The second side of a triangular deck is 6 feet longer than the shortest​ side, and the third side is 6 feet shorter than twice the length of the shortest side. If the perimeter of the deck is 48 ​feet, what are the lengths of the three​ sides?     

 

        Call "s" the shortest side.     Perimeter is the sum of all three sides.     

 

        48  =  (s) + (s + 6) + (2s – 6)     

        48  =  4s + 6 – 6     

        4s  =  48     –––>>     s  = 12     

 

        1st side                    =  12 ft     

        2nd side  =  (12+6)  =  18 ft     

        3rd side   =  (24–6)  =  18 ft     

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