document.write( "Question 174134: A brick patio is twice as long as it is wide. It is bordered on all sides by a garden 1.5m wide. Find the dimensions of the patio if the area of the garden is 54m^2. \n" ); document.write( "
Algebra.Com's Answer #129036 by checkley77(12844)\"\" \"About 
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AREA OR THE BRICK PATIO=LW
\n" ); document.write( "L=2W
\n" ); document.write( "AREA=2W*W=2W^2
\n" ); document.write( "AREA OF GARDEN=54
\n" ); document.write( "54=(L+3)(W+3)-2W^2
\n" ); document.write( "54=(2W+3)(W+3)-2W^2
\n" ); document.write( "54=2W^2+9W+9-2W^2
\n" ); document.write( "54=9W+9
\n" ); document.write( "9W=54-9
\n" ); document.write( "9W=45
\n" ); document.write( "W=45/9
\n" ); document.write( "W=5m.
\n" ); document.write( "L=2*5=10m.
\n" ); document.write( "PROOF:
\n" ); document.write( "54=(10+3)(5+3)-2*5^2
\n" ); document.write( "54=13*8-2*25
\n" ); document.write( "54=104-50
\n" ); document.write( "54=54
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