The lengths of the sides of a quadrilateral are 2011 cm, 2012 cm, 2013 cm and x cm. If x is an integer, what is the largest possible value of x?

Help is badly needed. my teacher frightens me huhu. please

1 answer

Think of laying out the 3 given sides in a straight line
to get a sum of 2011+2012+2013 = 2036

As long as x is < 2036 you will be able to "kink" the 3 lines at their joints and form a quad.
If x = 2036, they will all lie on a straight line.
if x > 2036, you can't join the end of that long side to the end of the others

so x < 2036
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