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Question Number 102196 by mathocean1 last updated on 07/Jul/20

ABCD is a square with center O.  AB=5 cm.  EFGH is a square such as   AE=BF=CG=DH.  1) Show with Chasles rules that  EF^(→) .FG^(→) =0^→   2) Determinate the area of EBFO  according to the area of ABCD.

$${ABCD}\:{is}\:{a}\:{square}\:{with}\:{center}\:{O}. \\ $$$${AB}=\mathrm{5}\:{cm}. \\ $$$${EFGH}\:{is}\:{a}\:{square}\:{such}\:{as}\: \\ $$$${AE}={BF}={CG}={DH}. \\ $$$$\left.\mathrm{1}\right)\:{Show}\:{with}\:{Chasles}\:{rules}\:{that} \\ $$$$\overset{\rightarrow} {{EF}}.\overset{\rightarrow} {{FG}}=\overset{\rightarrow} {\mathrm{0}} \\ $$$$\left.\mathrm{2}\right)\:{Determinate}\:{the}\:{area}\:{of}\:{EBFO} \\ $$$${according}\:{to}\:{the}\:{area}\:{of}\:{ABCD}. \\ $$

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