SOLUTION: the perimeter of a quadrilateral is 31 centimeters. find the length of its sides? side1(x+3)side2(x+6)side3(x^2-2x)side4(2x-2)....I hope I made it clear enough to understand

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Question 963001: the perimeter of a quadrilateral is 31 centimeters. find the length of its sides? side1(x+3)side2(x+6)side3(x^2-2x)side4(2x-2)....I hope I made it clear enough to understand
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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Side 1: x+3
Side 2: x+6
Side 3: x^2-2x
Side 4: 2x-2
P=perimeter=31cm
The perimeter is the sum of the sides:
P=%28x%2B3%29%2B%28x%2B6%29%2B%28x%5E2-2x%29%2B%282x-2%29
P=x%5E2%2B2x%2B7
31cm=x%5E2%2B2x%2B7 Subtract 31cm from each side
0=x%5E2%2B2x-24
0=%28x%2B6%29%28x-4%29
x%2B6=0 or x-4=0%29
x=-6 or x=4
The value of x is 4
Side 1: x+3=4+3=7 Side 1 is 7 centimeters.
Side 2: x+6=4+6=10 Side 2 is 10 centimeters.
Side 3: x^2-2x=16-8=8 Side 3 is 8 centimeters
Side 4: 2x-2=8-2=6 Side 4 is 6 centimeters.
CHECK:
P=(Side 1)+(Side 2)+(Side 3)+(Side 4)
31cm=(7cm)+(10cm)+(8cm)+(6cm)
31cm=31cm