Algebra.Com's Answer #818608 by ikleyn(52812)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "Given pentagon ABCDE ~ pentagon FGHJK. The area of pentagon ABCDE is 1134 m^2 and
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document.write( "the area of pentagon FGHJK is 504 m^2. If the length of FK is 60m, what is the length of AE?
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document.write( "(How do I solve this using concepts of SIMILAR POLYGONS?)
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document.write( "Consider the ratio of areas. It is  = 2.25.\r\n" );
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document.write( "The ratio of the areas is the square of the similarity coefficient :  = 2.25.\r\n" );
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document.write( "Hence, the similarity coefficient is the square root of this value : k =  = 1.5.\r\n" );
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document.write( "Thus the ratio of the corresponding linear elements of the pentagon ABCDE to those \r\n" );
document.write( "of the pentagon FGHJK is 1.5.\r\n" );
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document.write( "In particular, since the length of FK is 60 meters, then the length of the corresponding side AE is \r\n" );
document.write( "1.5 times of 60 m, i.e. 90 m.\r\n" );
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document.write( "Solved and thoroughly explained.\r
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