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)![]() ![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |