document.write( "Question 1077389: The area of a rectangle patio is 700 square feet. If the length of the patio is 5 feet less than twice its width, find the dimensions of the patio. \n" ); document.write( "

Algebra.Com's Answer #691854 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "The area of a rectangle patio is $\"700\"$ square feet. \r
\n" ); document.write( "\n" ); document.write( "If the length $\"L\"$ of the patio is $\"5\"$ feet less than $\"twice\"$ its width $\"W\"$ , we have
\n" ); document.write( "
\n" ); document.write( " $\"L=2W-5\"$ \r
\n" ); document.write( "\n" ); document.write( "The area of a rectangle is: $\"A=L%2AW\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"700=%282W-5%29%2AW\"$
\n" ); document.write( " $\"700=2W%5E2-5W\"$
\n" ); document.write( " $\"2W%5E2-5W-700=0\"$ .........factor
\n" ); document.write( " $\"2W%5E2%2B35W-40W-700=0\"$
\n" ); document.write( " $\"%282W%5E2-40W%29%2B%2835W-700%29=0\"$
\n" ); document.write( " $\"2W%28W-20%29%2B35%28W-20%29=0\"$
\n" ); document.write( " $\"%28W+-+20%29%282W+%2B+35%29+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( "solutions:
\n" ); document.write( "if $\"%28W+-+20%29+=+0\"$ => $\"W=20\"$
\n" ); document.write( "if $\"%282W+%2B+35%29+=+0\"$ => $\"2W=-35\"$ => $\"W=-35%2F2\"$ ....disregard negative solution, width cannot be negative\r
\n" ); document.write( "\n" ); document.write( "so, $\"highlight%28W=20%29\"$ \r
\n" ); document.write( "\n" ); document.write( "now find length
\n" ); document.write( " $\"L=2W-5\"$ => $\"L=2%2A20-5\"$ => $\"highlight%28L=35%29\"$ \r
\n" ); document.write( "\n" ); document.write( "the dimensions of the patio: $\"highlight%28L=35%29\"$ and $\"highlight%28W=20%29\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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