Question Number 83354 by TawaTawa1 last updated on 01/Mar/20
Commented by jagoll last updated on 01/Mar/20
$$\mathrm{NC}\:=\:\mathrm{MC}\:=\:\mathrm{x} \\ $$$$\mathrm{2x}^{\mathrm{2}} \:=\:\mathrm{25}\:\Rightarrow\mathrm{x}^{\mathrm{2}} \:=\:\frac{\mathrm{25}}{\mathrm{2}} \\ $$$$\mathrm{area}\:\mathrm{triangle}\:=\frac{\mathrm{1}}{\mathrm{2}}\mathrm{x}^{\mathrm{2}} \:=\:\frac{\mathrm{25}}{\mathrm{4}}\: \\ $$$$\mathrm{area}\:\mathrm{square}\:=\:\mathrm{625} \\ $$$$\mathrm{area}\:\mathrm{pentagon}\:=\:\mathrm{625}−\frac{\mathrm{25}}{\mathrm{4}} \\ $$$$=\:\mathrm{25}\left(\mathrm{25}−\frac{\mathrm{1}}{\mathrm{4}}\right)\:=\:\mathrm{25}×\frac{\mathrm{99}}{\mathrm{4}} \\ $$
Commented by TawaTawa1 last updated on 01/Mar/20
$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir} \\ $$