document.write( "Question 162231: I really need help on this problem please.
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document.write( " A smal city park consists of a rectangular lawn surrounded on all sides by a 330 m^2(meters squared) border of flowers 2.5 m wide. Find the area of the lawn is the entire park is 5 m longer than it is wide.
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Algebra.Com's Answer #119579 by KnightOwlTutor(293)![]() ![]() You can put this solution on YOUR website! In this problem we are just subtracting the area of a large rectangle from a smaller one.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "W=width of the park\r \n" ); document.write( "\n" ); document.write( "L=W+5=Length of the park\r \n" ); document.write( "\n" ); document.write( "Area of the park rectangle is A=W(W+5)\r \n" ); document.write( "\n" ); document.write( "We know that the border all around is 2.5m \n" ); document.write( "Thus the width of the lawn is w-2(2.5)=w-5 \n" ); document.write( "Thus the length of the lawn is w+5-2(2.5)=w\r \n" ); document.write( "\n" ); document.write( "The equation is as follows=\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Area of the park-Area of the lawn=area of the border=330m^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "W(W+5)-(W-5)W=330\r \n" ); document.write( "\n" ); document.write( "W^2+5W-W^2+5W=330\r \n" ); document.write( "\n" ); document.write( "10W=330\r \n" ); document.write( "\n" ); document.write( "Divide both sides by 10 \n" ); document.write( "W=33\r \n" ); document.write( "\n" ); document.write( "The dimensions of the park is 33m x38m\r \n" ); document.write( "\n" ); document.write( "The dimensions of the lawn is 28m x33m\r \n" ); document.write( "\n" ); document.write( "Let's double check our answer\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "33(38)-28(33)= \n" ); document.write( "1254-924=330\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |