In the figure, is equilateral, and . What is the perimeter of ?

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In the figure, <img alt='images' src='https://www.fatskills.com/images2/ACT/eq02188.png'/><!--<m:math display='inline' overflow='scroll' xmlns:m='http://www.w3.org/1998/Math/MathML'><m:mrow><m:mo>△</m:mo><m:mi>C</m:mi><m:mi>D</m:mi><m:mi>E</m:mi></m:mrow></m:math>--> is equilateral, and <img alt='images' src='https://www.fatskills.com/images2/ACT/eq02189.png'/><!--<m:math display='inline' overflow='scroll' xmlns:m='http://www.w3.org/1998/Math/MathML'><m:mrow><m:mrow><m:mrow><m:mi>C</m:mi><m:mi>E</m:mi></m:mrow><m:mo>‖</m:mo></m:mrow><m:mrow><m:mrow><m:mi>B</m:mi><m:mi>F</m:mi></m:mrow><m:mo>‖</m:mo></m:mrow><m:mi>A</m:mi><m:mi>G</m:mi></m:mrow></m:math>-->. What is the perimeter of <img alt='images' src='https://www.fatskills.com/images2/ACT/eq02190.png'/><!--<m:math display='inline' overflow='scroll' xmlns:m='http://www.w3.org/1998/Math/MathML'><m:mrow><m:mo>△</m:mo><m:mi>A</m:mi><m:mi>D</m:mi><m:mi>G</m:mi></m:mrow></m:math>-->?<br><img alt='image' src='https://www.fatskills.com/images2/ACT/9781119275435-fg0208.png' />