Question 57905
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