Question

The second side of a triangular deck is 6 feet longer than the shortest side and a third side that is 6 feet shorter than twice the length of the shortest side. if the perimeter of the deck is 76 feet, what are the lengths of the three sides?

Answer 1

Answer:

Shortest side is 19 feets

Second side is 25 feets  

Third side is 32 feets

Step-by-step explanation:

Let the shortest side of the desk be x. Hence,

Second side = (x + 6) feets

   Third side = (2x - 6) feets

Perimeter = 76 feets

x + (x + 6) + (2x - 6) = 76

                          4x = 76

                            x = 19

Hence, Second side = (19 + 6) feets

                                  = 25 feets

Third side = (38 - 6) feets

                 = 32 feets

Therefore, Shortest side is 19 feets, Second side is 25 feets and Third side is 32 feets

Answer 2

Answer:

Shortest side is 19 feet, Second side is 25 feet and Third side is 32 feet