document.write( "Question 51177: Hello, I have a problem that has been answered here already. The problem is, I don't quite understand how he arrived at the answer. The problem and answer is here: http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=19628\r
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document.write( "The original question is: Suppose that the length of a rectangle is one and one-third times as long as its width. The area of the rectangle is 48 square centimeters. Find the length and width of the rectangle.\r
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document.write( "The answer given is:
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document.write( "LET WIDTH =W
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document.write( "LENGTH=one and one-third times as long as its width.=(1 and 1/3)(W)..=(4/3)(W).
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document.write( "=4W/3
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document.write( "SO AREA =L*W=(4W/3)*W=48
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document.write( "W*W=48*3/4=36
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document.write( "W=6 CM
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document.write( "L=4W/3=4*6/3=8 CM\r
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document.write( "I understand most of it, until the line w*w=48*3/4=36 , I'm not sure I understand how he turned 4/3 into 3/4 and multiplied it by 48. I thought one could only add or subtract when bringing a fraction across? Sorry if this is a dumb question. \n" );
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Algebra.Com's Answer #34132 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! (4W/3)*W=48\r \n" ); document.write( "\n" ); document.write( "(4/3)W*W = 48 \n" ); document.write( "Now multiply both sides by (3/4) which is the reciprocal of (4/3) \n" ); document.write( "to get; \n" ); document.write( "(3/4)(4/3)W*W = 48*(3/4) \n" ); document.write( "Do you see that (3/4)(4/3)= 1 ? \n" ); document.write( "W*W=48*(3/4) \n" ); document.write( "W*W=36 \n" ); document.write( "W=6 CM \n" ); document.write( "L=4W/3=4*6/3=8 CM \r \n" ); document.write( "\n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |