document.write( "Question 119916This question is from textbook Blitzer College Algebra
\n" ); document.write( ": Could you please solve this equation for me. \r
\n" ); document.write( "\n" ); document.write( "Suppose that the width if a rectangle is 5 inches shorter than the length and tha perimeter of the rectangle is 50. What is the width? Could you please show you work so I can get a better understanding? Thanks
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Algebra.Com's Answer #87885 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
You can start with the formula for the perimeter of a rectangle:
\n" ); document.write( "\"P+=+2%28L%2BW%29\" where L = length and W = width.
\n" ); document.write( "The problem states that the width, W, is 5 inches shorter than the length, L.
\n" ); document.write( "You write this as:
\n" ); document.write( "\"W+=+L-5\" but since we are looking for the width, W, we'll rewrite this as:
\n" ); document.write( "\"L+=+W%2B5\"
\n" ); document.write( "The perimeter, P, is given as 50, so \"P+=+50\"
\n" ); document.write( "Now we'll substitute these values into the formula above and solve for W.
\n" ); document.write( "\"P+=+2%28L%2BW%29\" Substitute \"L+=+W%2B5\"
\n" ); document.write( "\"P+=+2%28%28W%2B5%29%2BW%29\" Combine like-terms.
\n" ); document.write( "\"P+=+2%282W%2B5%29\" Apply the distributive property.
\n" ); document.write( "\"P+=+4W%2B10\" Substitute P = 50.
\n" ); document.write( "\"50+=+4W%2B10\" Subtract 10 from both sides.
\n" ); document.write( "\"40+=+4W\" Finally, divide both sides by 4.
\n" ); document.write( "\"10=+W\"
\n" ); document.write( "The width is 10 inches.
\n" ); document.write( "\"L+=+W%2B5\"
\n" ); document.write( "\"L+=+10%2B5\"
\n" ); document.write( "\"L+=+15\"
\n" ); document.write( "The length is 15 inches.\r
\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "\"P+=+2%28L%2BW%29\" Substitute L= 15 and W = 10
\n" ); document.write( "\"P+=+2%2815%2B10%29\"
\n" ); document.write( "\"P+=+2%2825%29\"
\n" ); document.write( "\"P+=+50\" The solution is good!
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