document.write( "Question 1085491: A local building code requires that all schools must be surrounded by a lawn. The width of the lawn must
\n" );
document.write( "be uniform and the area of the lawn must equal the area of the school. What must be the width of a lawn
\n" );
document.write( "surrounding a rectangular school that measures 120 m by 80 m? \n" );
document.write( "
Algebra.Com's Answer #699566 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! Drawing this helps. \n" ); document.write( "The area of the school is 9600 m^2. \n" ); document.write( "The area of the lawn must be the same, so the total area must be 19200 m^2. \n" ); document.write( "The whole 19200 ft^2 is 120+2x by 80+2x, where x equals the uniform width of the lawn. \n" ); document.write( "That product is 9600+400x+4x^2=19200 \n" ); document.write( "4x^2+400-9600=0 \n" ); document.write( "divide by 4 \n" ); document.write( "x^2+100-2400=0 \n" ); document.write( "(x+120)(x-20)=0 \n" ); document.write( "take positive root only. x=20 m ANSWER \n" ); document.write( "The width of the whole area is 160 x 120, and that is 19200 m^2. \n" ); document.write( " |