SOLUTION: 1. Write the equation of the perimeter given the figure. 2. What is the value of x given 160 feet of fencing? Sides of the figure: 3x+2, x+6, 5x-3, 2x-1, 2x+1, 4x+2.

Algebra ->  Points-lines-and-rays -> SOLUTION: 1. Write the equation of the perimeter given the figure. 2. What is the value of x given 160 feet of fencing? Sides of the figure: 3x+2, x+6, 5x-3, 2x-1, 2x+1, 4x+2.       Log On


   

Question 1007942: 1. Write the equation of the perimeter given the figure.
2. What is the value of x given 160 feet of fencing?
Sides of the figure: 3x+2, x+6, 5x-3, 2x-1, 2x+1, 4x+2.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Sides of the figure:
3x%2B2,
x%2B6,
5x-3,
2x-1,
2x%2B1,
4x%2B2

1. Write the equation of the perimeter given the figure.
P=+%283x%2B2%29%2B%28x%2B6%29%2B%285x-3%29%2B%282x-1%29%2B%282x%2B1%29%2B%284x%2B2%29
P=+3x%2B2%2Bx%2B6%2B5x-3%2B2x-1%2B2x%2B1%2B4x%2B2
P=+17x%2B7
2. What is the value of x given 160 feet of fencing?
160=+17x%2B7
160-7=+17x
153=+17x
x=153%2F17
x=9

So, sides of the figure are:
3x%2B2=3%2A9%2B2=29,
x%2B6=9%2B6=15,
5x-3=5%2A9-3=42,
2x-1=2%2A9-1=17,
2x%2B1=2%2A9%2B1=19,
4x%2B2=4%2A9%2B2=38