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Question Number 83354 by TawaTawa1 last updated on 01/Mar/20

Commented by jagoll last updated on 01/Mar/20

NC = MC = x  2x^2  = 25 ⇒x^2  = ((25)/2)  area triangle =(1/2)x^2  = ((25)/4)   area square = 625  area pentagon = 625−((25)/4)  = 25(25−(1/4)) = 25×((99)/4)

$$\mathrm{NC}\:=\:\mathrm{MC}\:=\:\mathrm{x} \\ $$$$\mathrm{2x}^{\mathrm{2}} \:=\:\mathrm{25}\:\Rightarrow\mathrm{x}^{\mathrm{2}} \:=\:\frac{\mathrm{25}}{\mathrm{2}} \\ $$$$\mathrm{area}\:\mathrm{triangle}\:=\frac{\mathrm{1}}{\mathrm{2}}\mathrm{x}^{\mathrm{2}} \:=\:\frac{\mathrm{25}}{\mathrm{4}}\: \\ $$$$\mathrm{area}\:\mathrm{square}\:=\:\mathrm{625} \\ $$$$\mathrm{area}\:\mathrm{pentagon}\:=\:\mathrm{625}−\frac{\mathrm{25}}{\mathrm{4}} \\ $$$$=\:\mathrm{25}\left(\mathrm{25}−\frac{\mathrm{1}}{\mathrm{4}}\right)\:=\:\mathrm{25}×\frac{\mathrm{99}}{\mathrm{4}} \\ $$

Commented by TawaTawa1 last updated on 01/Mar/20

God bless you sir

$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir} \\ $$

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