Answered

Dive into the world of knowledge and get your queries resolved at IDNLearn.com. Get the information you need from our community of experts, who provide detailed and trustworthy answers.

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.

Sagot :

Sqdancefanidn

9514 1404 393

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.

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.