Question

The perimeter of a triangle garden is 54 feet. Find the length of the three sides if the middle length side is 4 feet greater than twice the length of the smallest side, and the longest side is 4 feet less than three times the length of the smallest side.

Answer 1

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Answer:

  9 ft, 22 ft, 23 ft

Step-by-step explanation:

Let s represent the length of the shortest side. Then the middle length side is (2s+4) and the longest side is (3s-4). The perimeter is the sum of the side lengths:

  54 = s +(2s +4) +(3s -4)

  54 = 6s . . . . . . . . . . . . . . collect terms

  9 = s . . . . . . . . . . divide by 6

  2s+4 = 2·9 +4 = 22

  3s -4 = 3·9 -4 = 23

The lengths of the three sides are 9 feet, 22 feet, and 23 feet.