SOLUTION: the lenghts of the sides of a quadrilateral are consecutive even integers. twice the length of the shortest side plus the length of the longest side is 120 inches. find the lengt

Question 57905: the lenghts of the sides of a quadrilateral are consecutive even integers. twice the length of the shortest side plus the length of the longest side is 120 inches. find the lengths of all four sides.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the lengths of the sides of a quadrilateral are consecutive even integers. twice the length of the shortest side plus the length of the longest side is 120 inches. find the lengths of all four sides.
:
The sides: x, (x+2), (x+4), (x+6)
:
Write an equation for:
"twice the length of the shortest side plus the length of the longest side is 120 inches."
2x + (x+6) = 120
3x + 6 = 120
3x = 120 - 6
3x = 114
x = 114/3
x = 38
:
The sides: 38, 40, 42, 44
:
Check: 2(38) + 44 = 120

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