document.write( "Question 502188: The Length of a rectangular garden is 4m greater than the width. Th area of the Garden is 96m squared. Find the length and the width.
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document.write( "I can get to the part of w(w+4)=96 \n" );
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Algebra.Com's Answer #338781 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! L = length \n" ); document.write( "W = width \n" ); document.write( "L = W +4 \n" ); document.write( "A = 96 m^2 \n" ); document.write( "A = L*W \n" ); document.write( ". \n" ); document.write( "substitute for L \n" ); document.write( ". \n" ); document.write( "(W+4)(W)=96 \n" ); document.write( "W^2 +4W - 96 = 0 \n" ); document.write( ". \n" ); document.write( "factor \n" ); document.write( ". \n" ); document.write( "(W-8)(W+12)=0 \n" ); document.write( ". \n" ); document.write( "So, \n" ); document.write( ". \n" ); document.write( "W = 8 or -12 \n" ); document.write( ". \n" ); document.write( "You cannot have negative width, so W =8. \n" ); document.write( ". \n" ); document.write( "L = W+4 \n" ); document.write( "L = 12. \n" ); document.write( ". \n" ); document.write( "8*12 = 96, so the area is correct and, \n" ); document.write( "12 is 4 more than 8. \n" ); document.write( ". \n" ); document.write( "Answer: Length = 12 m; Width = 8 m. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |