Question Number 156252 by cortano last updated on 09/Oct/21
Commented by john_santu last updated on 09/Oct/21
$${area}\:{of}\:{the}\:{red}\:{square}=\mathrm{32}\:{sq}\:{units} \\ $$
Answered by talminator2856791 last updated on 09/Oct/21
$$\:\mathrm{side}\:\mathrm{of}\:\mathrm{big}\:\mathrm{square}\: \\ $$$$\:=\:\mathrm{8}+\:\mathrm{4}\sqrt{\mathrm{2}} \\ $$$$\: \\ $$$$\:\Rightarrow\:\mathrm{side}\:\mathrm{of}\:\mathrm{red}\:\mathrm{square} \\ $$$$\:=\:\mathrm{8}+\:\mathrm{4}\sqrt{\mathrm{2}}\:−\:\mathrm{8} \\ $$$$\:=\:\mathrm{4}\sqrt{\mathrm{2}} \\ $$$$\: \\ $$$$\:\mathrm{area} \\ $$$$\:=\:\mathrm{32} \\ $$