MathDB

1

Part of 2006 AIME Problems

Problems(2)

Quadrilateral Perimeter

Source: 2006 AIME A Problem 1

3/9/2006
In quadrilateral ABCD,∠BABCD, \angle B is a right angle, diagonal AC‾\overline{AC} is perpendicular to CD‾,\overline{CD}, AB=18,BC=21,AB=18, BC=21, and CD=14.CD=14. Find the perimeter of ABCDABCD.
geometryperimeterAMCAIMEtrigonometryPythagorean TheoremAIME I
AIME Hexagon

Source: 2006 AIME II 1

3/28/2006
In convex hexagon ABCDEFABCDEF, all six sides are congruent, ∠A\angle A and ∠D\angle D are right angles, and ∠B\angle B, ∠C\angle C, ∠E\angle E, and ∠F\angle F are congruent. The area of the hexagonal region is 2116(2+1)2116(\sqrt{2}+1). Find ABAB.
geometryrectangleAMCAIME2006 AIME II