GSPk+ F`(!&#capmdt$l Drag B to change the length of ab. The parallelogram ABCD changes, but it remains a parallelogram, and its perimeter and area do not change. The angle BAC changes. You can choose the perimeter: it is the length of segment P0 P1. Drag P1 to change this. You can choose the area: it is the length of segment A0 A1. Drag A1 to change this. How does the length of ac depend on the area? How does the angle BAC depend on the area? How does the angle BAC depend on the length of ab? Why does ABCD 'pop' out of existence for certain choices?%tLCB C, B8P0CKCCBC, BeCHCC[C $tB6M_8C:\SKETCH\WSFIQDAR419.GSPQdarea2.gspD[C #t N N 2C[CX@t@ BA07,F`FʢGCC t BAFCC t@ B P07$:`:ʢGCC t B ABCC tinBG΢<V ΢?V ΢F2@ XO ?'xCC "t౾ N 52y LtLtڤOg}LtT'w8}_8%wCCCAף?"t N 42x_8_88w5(_8&?o'_8= w8w5(_8}Lt_8pC[C D[C`?t af@@\D'5'\l @CCC? tX aa5\l @pCC DC? t CA77 :`:ʢGxC[C thnql @zD l'@BCCC? t&+(\?  A17R`RʢGCC  t?  P17TR`RȢʢG0DC  t Cq'l @zD l'@B[CC[C?tin[r? H΢<V ΢?V ΢.2@ XO ?'CC  t+}X agDC<CCDC ;Z;DCCCCC? t ab@@<55\l CC0DC?t CB77H :`:ʢGC[C thn?r ҊBhieC? 4D--Di) D<D hieC? PBW߿8xCCCC? tWfo ' m19@4 ';Zq4 l'6 ; m {S:A0A1} = Length(Segment A0A1) = t m14 m {S:P0P1} = Length(Segment P0P1) =  t  Cab _8 *1%@ XO P?'xC[CC[C ? t m12 |' a 'rmn.ab = Length(Segment ab) = t_HW m15Gxdd4Q)@,ppppp 3{D:Length(Segment P0P1)}{2} - Length(Segment ab) = .Length(Segment P0P1)/2 - Length(Segment ab) = XtV(@W m21Gxdd4Q)@,ppppp e{D:Length(Segment A0A1)}{{(:Length(Segment ab){!:*}(Length(Segment P0P1)/2 - Length(Segment ab))}} = ZLength(Segment A0A1)/(Length(Segment ab)*(Length(Segment P0P1)/2 - Length(Segment ab))) = rt3KW m20Gxdd4Q)@,ppppp rsin{u:-1}{(:{D:Length(Segment A0A1)}{{(:Length(Segment ab){!:*}(Length(Segment P0P1)/2 - Length(Segment ab))}}} = carcsin[Length(Segment A0A1)/(Length(Segment ab)*(Length(Segment P0P1)/2 - Length(Segment ab)))] =  0t +AF'DC itc?0W m24Gxdd4Q)@,ppppp n(arcsin[Length(Segment A0A1)/(Length(Segment ab)*(Length(Segment P0P1)/2 - Length(Segment ab)))]){!:*}1 rad = j(arcsin[Length(Segment A0A1)/(Length(Segment ab)*(Length(Segment P0P1)/2 - Length(Segment ab)))])*1 rad = ? tL ac1"s8, X;CCDC?ty[> c3egment P0P1)/2 - Length(Segmen ab);5 ;xC[CBF%5?F%5?!tX]  AL{C[C "t27%C _8^ *1%^@ XO P?'4*C^ C# ty D _8 *1%@ XO P?'3C^ C$ t7( ' ac7 F`FʢGxC[C4*C^ C?$ t p6m?3C^ CC[CxC[C4*C^ C%$ t1 ait 'J5( '14*C^ C3C^ C?%$ t ah'th(Segment P0P1)/2 - Length(Sgment ab)))])*1 radD> C[C3C^ C?&tSKET m26PC LES0'SCAN$6Perimeter CABD = Perimeter(Polygon CABD) = 'tzVzn m25 ' r '''4 'ZV  ' Area CABD = Area(Polygon CABD) = '"Arialab ?abab