document.write( "Question 188830: A parking lot has a rectangular area of 40,000 sq. yards. The lenght is 200 yards more than twice the width. what are the dimensions of the parking lot? \n" ); document.write( "
Algebra.Com's Answer #141680 by BillKearns2(1)![]() ![]() ![]() You can put this solution on YOUR website! First I would draw a rectangle.\r \n" ); document.write( "\n" ); document.write( "The length is 200 yards more than twice the length \n" ); document.write( "So set length to 2x+200 and the width is x \n" ); document.write( "The area is 40,000 so: (2x+200)(x)=40000 Since L(w)=Area \n" ); document.write( "(2x+200)(x)=40000 \n" ); document.write( "2x^2+200x=40000 \n" ); document.write( "Subtract 40,000 from both sides and set to zero \n" ); document.write( "2x^2+200x-40,000=0 \n" ); document.write( "Factor (may be easier to factor out a 2 first. \n" ); document.write( "2(x^2+100x-200)=0 \n" ); document.write( "2(x-100)(x+200)=0 \n" ); document.write( "now solve \n" ); document.write( "2=0 No \n" ); document.write( "x-100=0: x=100 possibly \n" ); document.write( "x+200=0: x-200 no, cant have a negative side so use x=100\r \n" ); document.write( "\n" ); document.write( "so insert 100 into x of original length \n" ); document.write( "2x+200 \n" ); document.write( "2(100)+200=400\r \n" ); document.write( "\n" ); document.write( "So, length is 400 and width is 100 \n" ); document.write( "Check your answer by seeing if 400 is actually 2times plus 200 of 100 (It is) \n" ); document.write( "Check the area Area=LW \n" ); document.write( "A=400(100) \n" ); document.write( "A=40,000\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |