document.write( "Question 1165642: The length of a Ping-Pong table is 2 feet less than twice the width. The area of the Ping-Pong table is 40 square feet. What are the dimensions of the table? \n" ); document.write( "
Algebra.Com's Answer #790120 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "An area of 40 probably means either 4x10 or 5x8; see if either of those satisfies the given conditions.

\n" ); document.write( "Yes; 5x8. The length, 8, is 2 less than twice the width, 5.

\n" ); document.write( "Presumably you are supposed to solve the problem using formal algebra....

\n" ); document.write( "Let x be the width; then the length is 2x-2 (2 less than twice the width).

\n" ); document.write( "The area is 40:

\n" ); document.write( "\"x%282x-2%29+=+40\"
\n" ); document.write( "\"x%28x-1%29+=+20\"
\n" ); document.write( "\"x%5E2-x+=+20\"
\n" ); document.write( "\"x%5E2-x-20+=+0\"
\n" ); document.write( "\"%28x-5%29%28x%2B4%29+=+0\"
\n" ); document.write( "\"x+=+5\" or \"x+=+-4\"

\n" ); document.write( "Obviously the negative solution makes no sense in the given problem.

\n" ); document.write( "ANSWER: width = x = 5; length = 2x-2 = 8.

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