document.write( "Question 155758: If you would please help me solve this word problem:\r
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document.write( "The length of a rectangle is 1 inch less than three times the width. If the length is increased by 6 inches and the width is increased by 5 inches, then the length will be twice the width. Find the dimensions of the rectangle.\r
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document.write( "So far this is what I have done: Let x=the width
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document.write( "Since the length = 3x-1, I added the 6 inches and double the width.
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document.write( "I have for an equation:
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document.write( "(3x-1)+6 = 2x
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document.write( "However when I solved it it turned out to be:
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document.write( "3x+5=2x
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document.write( "x+5=0
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document.write( "x=-5
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document.write( "But, as you can see, I can't have a negative dimension in a rectangle! D:!!\r
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document.write( "So please, can you point out what I did wrong ;-;? Please and thank you!
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Algebra.Com's Answer #114726 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let L = length and W = width. \n" ); document.write( "L = 3W-1 and \n" ); document.write( "L+6 = 2(W+5) Substitute the L from the above equation. \n" ); document.write( "(3W-1)+6 = 2(W+5) Simplify. \n" ); document.write( "3W+5 = 2W+10 Subtract 2W from both sides. \n" ); document.write( "W+5 = 10 Subtract 5 from both sides. \n" ); document.write( "W = 5 inches and \n" ); document.write( "L = 3W-1 \n" ); document.write( "L = 3(5)-1 \n" ); document.write( "L = 15-1 \n" ); document.write( "L = 14 inches. \n" ); document.write( " |