Question Number 205135 by mr W last updated on 09/Mar/24
Commented by mr W last updated on 09/Mar/24
$${ABCD}\:{is}\:{square}. \\ $$$${find}\:\frac{{red}\:{area}}{{blue}\:{area}}=? \\ $$
Answered by TonyCWX08 last updated on 10/Mar/24
$$ \\ $$$${If}\:{you}\:{observe}, \\ $$$${Shape}\:\left({Red}+{Blue}\right)\:{and}\:{Shape}\left({Red}\right)\:{are}\:{similar} \\ $$$$ \\ $$$${Know}\: \\ $$$${small}\:{side}\:=\:\mathrm{4} \\ $$$${big}\:{side}\:=\:\mathrm{8} \\ $$$${Ratio}\:{of}\:{side} \\ $$$$=\mathrm{4}:\mathrm{8} \\ $$$$=\mathrm{1}:\mathrm{2} \\ $$$$ \\ $$$${Ratio}\:{of}\:{Area} \\ $$$$=\mathrm{1}^{\mathrm{2}} :\mathrm{2}^{\mathrm{2}} \\ $$$$=\mathrm{1}:\mathrm{4} \\ $$$$ \\ $$$${Red}:\left({Red}+{Blue}\right)\:=\:\mathrm{1}:\mathrm{4} \\ $$$${Blue}=\mathrm{4}−\mathrm{1}=\mathrm{3} \\ $$$$\frac{{Red}}{{Blue}}=\frac{\mathrm{1}}{\mathrm{3}} \\ $$
Commented by mr W last updated on 10/Mar/24
$${very}\:{nice}! \\ $$