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Question Number 192572 by naka3546 last updated on 21/May/23

$$\mathrm{Let}ABCD\mathrm{be}\mathrm{a}\mathrm{rectangle}\mathrm{having}\mathrm{an}\mathrm{area}\mathrm{of}290.$$$$\mathrm{Let}E\mathrm{be}\mathrm{on}BC\mathrm{such}\mathrm{that}BE:BC=3:2.$$$$\mathrm{Let}F\mathrm{be}\mathrm{on}CD\mathrm{such}\mathrm{that}CF:FD=3:1.$$$$\mathrm{If}G\mathrm{is}\mathrm{the}\mathrm{intersection}\mathrm{of}AE\mathrm{and}BF,\mathrm{compute}$$$$\mathrm{the}\mathrm{area}\mathrm{of}△BEG.$$

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