Answer
x=4; length of 14-2x=6; length of 2x+1=9; length of 3x-1=11
Work Step by Step
To find the perimeter, we need to add all the sides together.
P=all sides added together
The side lengths are 14-2x, 2x+1, and 3x-1, and the perimeter equals 26. Input them into the function:
26=14-2x+2x+1+3x-1
Simplify:
26=3x+14
One thing that is asked in this problem is to find the value of x. To do this, we need to isolate the variable.
26-14=3x+14-14
12=3x
4=x
The next thing that is asked in this problem is to find the length of each side. To do this, we input x into each side's length:
14-2x
14-2(4)
14-8
6
2x+1
2(4)+1
8+1
9
3x-1
3(4)-1
12-1
11