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Putnam
1978 Putnam
B1
B1
Part of
1978 Putnam
Problems
(1)
Putnam 1978 B1
Source: Putnam 1978
5/2/2022
Find the area of a convex octagon that is inscribed in a circle and has four consecutive sides of length
3
3
3
and the remaining four sides of length
2
2
2
. Give the answer in the form
r
+
s
t
r+s\sqrt{t}
r
+
s
t
ā
with
r
,
s
,
t
r,s, t
r
,
s
,
t
positive integers.
Putnam
geometry
area