document.write( "Question 1185392: . In TRIANGLE LMN, XY IS PARALLEL TO MN, area of quadrilateral XMNY= 42 sq. m. If THE RATIOS LX: XM 2: 3 ARE GIVEN, then find the area of TRIANGLE LXY.
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document.write( "A. 28 sq. m
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document.write( "B. 56/3 sq. m
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document.write( "C. 8 sq. m
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document.write( "D. 33.6 sq. m
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document.write( "E. 30.7 sq. m. \r
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Algebra.Com's Answer #816229 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Triangles LXY and LMN are similar. \n" ); document.write( "With LX:XM=2:3, corresponding sides LX and LM of the two similar triangles are in the ratio LX:LM=2:5. \n" ); document.write( "That means the ratio of the areas of triangles LXY and LMN is (2^2):(5^2) = 4:25. \n" ); document.write( "That in turn means the ratio of the areas of LXY and XMNY is 4:21. Then, since the area of XMNY is 42 square meters... \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "ANSWER: The area of triangle LXY is 8 square meters. Answer choice C. \n" ); document.write( "--------------------------------------------------------------------------- \n" ); document.write( "In response to question from student.... \n" ); document.write( "4:25 is the ratio of the areas of the two triangles LXY and LMN. \n" ); document.write( "Quadrilateral XMNY is the difference between those two triangles, so the ratio of areas of triangle LXY and quadrilateral XMNY is 4:21. \n" ); document.write( " \n" ); document.write( " |