Question

I have a triangular garden such that the largest side is 6 ft less than twice the smallest and medium side is 5 ft larger than the smallest side. If the total perimeter of the garden is 47 ft, what are the lengths of the three sides

Answer 1

Given:
Triangular garden
smallest side: x
medium side: x + 5ft
largest side: 2x - 6ft
Perimeter: 47 ft.

Perimeter = smallest side + medium side + largest side
47 ft = x + x + 5ft + 2x - 6ft
47 ft - 5ft + 6ft = 4x
48ft = 4x
48ft / 4 = 4x / 4
12 ft = x

smallest side: x = 12 feet
medium side: x + 5ft = 12ft + 5ft = 17 ft
largest side: 2x - 6ft = 2(12ft) - 6ft = 24ft - 6ft = 18ft

Perimeter: smallest + medium + largest
47ft = 12ft + 17ft + 18ft
47ft = 47ft