Solve the problem.

6.

There is an odd shaped garden with a four-sided fence around it. The perimeter

of the fence is 84 feet. The first side is 12 feet longer than the second side. The

second side is 17 feet shorter than the third side. The fourth side is double the

length of the second side. How long are each of the sides of the fence?

Step-by-step explanation:

Perimeter = 84 feet

Side One = Side Two + 12 feet

Side Two + 17 = Side Three

Side Two + Side Two = Side Four

Perimeter = (Side Two + 12) + (Side Two) + (Side Two + 17) + (Side Two + Side Two) = 5 x (Side Two) + 29 = 84

5x + 29 = 84

5x = 55

x = 11

Side Two = 11 feet

Side One = 11 + 12 = 23 feet

Side Three = 11 + 17 = 28 feet

Side Four = 11 X 2 = 22 feet