1986 AJHSME Problems/Problem 13
Problem
The perimeter of the polygon shown is
Solution
For the segments parallel to the side with side length 8, let's call those two segments and
, the longer segment being
, the shorter one being
.
For the segments parallel to the side with side length 6, let's call those two segments and
, the longer segment being
, the shorter one being
.
So the perimeter of the polygon would be...
Note that , and
.
Now we plug those in:
28 is .