document.write( "Question 488537: Suppose the length and width of the rectangle are doubled. what effect would this have on the area? Justify your answer. rectangle dimensions = 17ft L
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document.write( " 4 ft W \n" );
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Algebra.Com's Answer #333400 by Theo(13342)![]() ![]() You can put this solution on YOUR website! A = L * W \n" ); document.write( "this means area equals length times width. \n" ); document.write( "if you double the length and you double the width, the formula becomes: \n" ); document.write( "A = 2 * L * 2 * W which is the same as: \n" ); document.write( "A = 2 * 2 * L * W which is the same as: \n" ); document.write( "A = 4 * L * W \n" ); document.write( "if you double the length and the width, you are quadrupling the area. \n" ); document.write( "this is because 2 * 2 = 4. \n" ); document.write( "an example: \n" ); document.write( "L = 2 and W = 4 \n" ); document.write( "Area = 2 * 4 = 8 \n" ); document.write( "double the length and double the width to get: \n" ); document.write( "L = 4 and W = 8 \n" ); document.write( "Area = 4 * 8 = 32 \n" ); document.write( "32 is 4 times as large as 8. \n" ); document.write( "you doubled the length and the width and you quadrupled the area. \n" ); document.write( "this is because 2 * 2 = 4 \n" ); document.write( "if you tripled the length and doubled the width, then the area would be 6 times as large because 2 * 3 = 6 \n" ); document.write( "an example: \n" ); document.write( "L = 2 and W = 4 \n" ); document.write( "Area = 2 * 4 = 8 \n" ); document.write( "double the length and triple the width to get: \n" ); document.write( "L = 4 and W = 12 \n" ); document.write( "Area = 4 * 12 = 48 \n" ); document.write( "48 is 6 times as big as 8. \n" ); document.write( "what you did was: \n" ); document.write( "L * W = Area \n" ); document.write( "you doubled the length and tripled the width to get: \n" ); document.write( "2 * L * 3 * W = Area \n" ); document.write( "this becomes: \n" ); document.write( "2 * 3 * L * W = Area which becomes: \n" ); document.write( "6 * L * W = Area \n" ); document.write( "the area becomes 6 times as large because 2 * 3 = 6. \n" ); document.write( " \n" ); document.write( " |