MathDB

Turkish NMO First Round - 1999 P-09 (Geometry)

Source:

July 3, 2012

geometrytrigonometryrectangle

Problem Statement

Find the area of inscribed convex octagon, if the length of four sides is

2

, and length of other four sides is

6\sqrt {2}

.
(A)\ 120 \qquad(B)\ 24 \plus{} 68\sqrt {2} \qquad(C)\ 88\sqrt {2} \qquad(D)\ 124 \qquad(E)\ 72\sqrt {3}