document.write( "Question 38952: Hi! I have trouble with this word problem. Can you help me?
\n" ); document.write( "A rectangle and square have the same width, but the rectangles length is 5m longer than the squares. Their area is 133m(squared). Find the dimensions.\r
\n" ); document.write( "\n" ); document.write( "I have tried
\n" ); document.write( "rectange=l+5
\n" ); document.write( "square= l \r
\n" ); document.write( "\n" ); document.write( " then I did l+l+5=133
\n" ); document.write( " -5=-5
\n" ); document.write( " 2l=128
\n" ); document.write( " i divided by 2 and got
\n" ); document.write( " l=64m
\n" ); document.write( "I dont think that is right. Can you help me?\r
\n" ); document.write( "\n" ); document.write( "If you could help me that would be great, but if not I'll try to work it out differently.
\n" ); document.write( "Thanks,
\n" ); document.write( " Melissa
\n" ); document.write( "

Algebra.Com's Answer #24398 by fractalier(6550)\"\" \"About 
You can put this solution on YOUR website!
Here's how you do it.
\n" ); document.write( "Let w be the width of both.
\n" ); document.write( "The square, then, has a length of w also.
\n" ); document.write( "The rectangle has a length of w + 5.
\n" ); document.write( "Now if we add the areas, we get a total of 133, so here goes...
\n" ); document.write( "w^2 + w(w + 5) = 133
\n" ); document.write( "2w^2 + 5w - 133 = 0
\n" ); document.write( "(2w + 19)(w - 7) = 0
\n" ); document.write( "w = -19/2 or w = 7
\n" ); document.write( "but distance must be positive so w = 7.
\n" ); document.write( "The length of the rectangle is 12.
\n" ); document.write( "
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