document.write( "Question 677979: The area of a rectangular carpet is 72 square feet. The carpet's length is (x + 4) and the carpet's width is (5x + 2) feet. Find the dimensions of the carpet \n" ); document.write( "

Algebra.Com's Answer #421149 by ReadingBoosters(3246) $\"\"$ $\"About$

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a = lw = 72
\n" ); document.write( "l = x+4
\n" ); document.write( "w = 5x+2
\n" ); document.write( "...
\n" ); document.write( "(x+4)(5x+2) = 72
\n" ); document.write( " $\"5x%5E2+%2B+2x+%2B+20x+%2B+8+=+72\"$
\n" ); document.write( " $\"5x%5E2+%2B+22x+-+64+=+0\"$
\n" ); document.write( "...
\n" ); document.write( "Quadratic Equation
\n" ); document.write( "x = $\"%28-22+%2B-+sqrt%2822%5E2-4%285%29%28-64%29%29%29%2F2%285%29\"$ }
\n" ); document.write( "...
\n" ); document.write( "x = $\"%28-22+%2B-+sqrt%28484%2B1280%29%29%2F10\"$
\n" ); document.write( "...
\n" ); document.write( "x = $\"%28-22+%2B-+sqrt%281764%29%29%2F10\"$
\n" ); document.write( "...
\n" ); document.write( "x = $\"%28-22+%2B-42%29%2F10\"$
\n" ); document.write( "...
\n" ); document.write( "x = $\"%28-22%2B42%29%2F10+=+20%2F10+=+2\"$
\n" ); document.write( "Or
\n" ); document.write( "x = $\"%28-22-42%29%2F10+=+-64%2F10+=+-6.4\"$ --> don't use the negative because dimensions cannot be negative.
\n" ); document.write( "...
\n" ); document.write( "...
\n" ); document.write( "l = x+4 = 2+4 = $\"highlight_green%28l=6%29\"$ ft
\n" ); document.write( "w = 5x+2 = 5(2)+2 = 10+2 = $\"highlight_green%28w=12%29\"$ ft
\n" ); document.write( "...
\n" ); document.write( "Check 6*12 = 72
\n" ); document.write( "............
\n" ); document.write( "Delighted to help.
\n" ); document.write( "-Reading Boosters
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