SOLUTION: 1. The sides of the quadrilateral are consecutive numbers. If the perimeter is 162, how long is each side?
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Question 252629: 1. The sides of the quadrilateral are consecutive numbers. If the perimeter is 162, how long is each side?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let x = length of first side.
Since "The sides of the quadrilateral are consecutive numbers", this means that the side lengths are: x, x+1, x+2, and x+3. Also, because the perimeter is 162, we know that (just add up the four sides and set the sum equal to 162).
Start with the given equation.
Combine like terms on the left side.
Subtract from both sides.
Combine like terms on the right side.
Divide both sides by to isolate .
Reduce.
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Answer:
So the solution is giving the four sides to be:
x = 39
x+1 = 40
x+2 = 41
x+3 = 42
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