SOLUTION: Hey I really need help with this problem? A triangle has a perimeter of 46 meters. The first side of the triangle is four meters longer than the second side. The third side is

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Question 930703: Hey I really need help with this problem?
A triangle has a perimeter of 46 meters. The first side of the triangle is four meters longer than the second side. The third side is 10 meters shorter than double the second side.
A) define the variable expressions
b) write an equation
c) Solve the equation and find the length of each side of the triangle
Answer by ptfile(81) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = the first side
b = the second side
c = the third side
A triangle has a perimeter of 46 meters.
a + b + c = 46 meters
The first side of the triangle is four meters longer than the second side.
a=b+4
The third side is 10 meters shorter than double the second side.
c=2b-10
Substitute a with b+4 and c with 2b-10
(b+4) + b + (2b-10) = 46
4b-6 = 40
4b = 46+6
4b = 52
b = 13 meters
Substitute b with 13
a = 13 + 4
a = 17 meters
c = 2(13)-10
c = 26-10
c = 16
The length of each side of the triangle are 17, 13 and 16 meters.
Check
17 + 13 + 16 = 46
46 = 46