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
\n" ); document.write( " 4 ft W
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Algebra.Com's Answer #333400 by Theo(13342)\"\" \"About 
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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.
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