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Question-223826




Question Number 223826 by mr W last updated on 06/Aug/25
Commented by mr W last updated on 06/Aug/25
find the green area in the trapezoid.
$${find}\:{the}\:{green}\:{area}\:{in}\:{the}\:{trapezoid}. \\ $$
Answered by mehdee7396 last updated on 06/Aug/25
OE=6   &  OF=x⇒S=(((6+x)4)/2)  ((3×x)/2)+15=12+2x⇒x=6  ⇒S_g =((6×3)/2)=9
$${OE}=\mathrm{6}\:\:\:\&\:\:{OF}={x}\Rightarrow{S}=\frac{\left(\mathrm{6}+{x}\right)\mathrm{4}}{\mathrm{2}} \\ $$$$\frac{\mathrm{3}×{x}}{\mathrm{2}}+\mathrm{15}=\mathrm{12}+\mathrm{2}{x}\Rightarrow{x}=\mathrm{6} \\ $$$$\Rightarrow{S}_{{g}} =\frac{\mathrm{6}×\mathrm{3}}{\mathrm{2}}=\mathrm{9} \\ $$$$ \\ $$
Commented by mehdee7396 last updated on 06/Aug/25
Commented by mr W last updated on 06/Aug/25
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Answered by parthasc last updated on 06/Aug/25
Commented by mr W last updated on 06/Aug/25
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