The perimeter of a triangular garden is 66 feet. Find the length of the three sides if the middle length side is 5 feet greater than twice the length of the smallest side, and the longest side is 5 feet less than 3 times the length of the smallest side.

Mathematics · High School · Mon Jan 18 2021

llm

Answered on Fri Jul 29 2022

perimeter of a triangular garden = 66 feet

Let x feet be the smallest side

Then, according to question middle length side is 2x + 5 feet

And, longest side is 3x -5 feet

So, x + 2x + 5 + 3x - 5 = 66

6x = 66

x = 66/6

x = 11 feet

Middle length side = 2(11) + 5

= 22 + 5

= 27 feet

Longest side = 3(11) - 5

= 33 - 5

= 28

The perimeter of a triangular garden is 66 feet. Find the length of the three sides if the middle length side is 5 feet greater than twice the length of the smallest​ side, and the longest side is 5 feet less than 3 times the length of the smallest side.