document.write( "Question 99614: The length of a rectangular playing field is 5 feet less than twice its width. If the perimeter of the playing field is 230 feet, find the length and width of the field. \n" ); document.write( "

Algebra.Com's Answer #72474 by Adam(64) $\"\"$ $\"About$

You can put this solution on YOUR website!
We denote width by x. twice the length means $\"2%2Ax\"$ and 5 less then twice the length - $\"2%2Ax-5\"$ , formula for perimeter is 2*length+2*width subsituting our results - $\"2%2A%282%2Ax-5%29%2B2%2Ax+=+P\"$
\n" ); document.write( "4*x-10+2*x=230
\n" ); document.write( "4*x+2*x=230+10
\n" ); document.write( "6*x=240
\n" ); document.write( "x = 40\r
\n" ); document.write( "\n" ); document.write( "we can check by inserting into $\"2%2A%282%2Ax-5%29%2B2%2Ax+=+230\"$
\n" ); document.write( "2*(2*40-5)+2*40
\n" ); document.write( "160-10+80 = 150+80 = 230 wow, it agrees!(I didn't expect that....)
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\n" ); document.write( "Here is what it looks like:
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