SOLUTION: The lengths of two sides of a parallelogram are consecutive even integers and the perimeter of the parallelogram is 36 cm. What is the length of the longer side?

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Question 126361: The lengths of two sides of a parallelogram are consecutive even integers and the perimeter of the parallelogram is 36 cm. What is the length of the longer side?
Found 2 solutions by solver91311, checkley71:
Answer by solver91311(24713) About Me  (Show Source):
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If the lengths of the sides are consecutive even integers, then you can say that the longer one is x and the shorter one is x - 2.

The perimeter of a parallelogram is just the sum of the 4 sides. Here we have 2 sides of length x and 2 sides of length x - 2, so adding them all up:

x+%2B+x+%2B+%28x+-+2%29+%2B+%28x+-+2%29=36

4x-4=36

4x=40

x=10. So the longer side measures 10 cm.

Check:
If the longer side is 10 cm, then the shorter side must be 8 cm. 2 times 8 is 16, 2 times 10 is 20, and 16 plus 20 is 36, answer checks.

Answer by checkley71(8403) About Me  (Show Source):
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2x+2(x+2)=36 or 2x+2x+4=36 or 4x=36-4 or 4x=32 or x=32/4 or x=8 answer for the shorter side.
8+2=10 for the longer side.
PROOF:2*8+2*10=36 or 16+20=36 or 36=36