A regular pentagon with area 1+5 is printed on paper and cut out. All five vertices are folded to the center of the pentagon, creating a smaller pentagon. What is the area of the new pentagon?
By Hints 3, 4, and 5 and Special Right Triangles,[ABCDE][A′B′C′D′E′]=(ONOM)2=41(ONOA)2=41⋅cos236∘1=41(1+54)2=41⋅6+2516=3+52=9−52(3−5)=23−5
