document.write( "Question 1135914: The perimeter of a basketball court is 84 meters and the length is 6 meters longer than twice the width. What are the length and width? \n" ); document.write( "
Algebra.Com's Answer #753620 by addingup(3677)![]() ![]() You can put this solution on YOUR website! 2L + 2W = Perimeter \n" ); document.write( "2L + 2W = 84 \n" ); document.write( "and we have that: \n" ); document.write( "L = 2W + 6 \n" ); document.write( "Rewrite substituting for L: \n" ); document.write( "2(2W + 6) + 2W = 84 \n" ); document.write( "4W + 12 + 2W = 84 \n" ); document.write( "6W = 72 \n" ); document.write( "W = 12 \n" ); document.write( "So now we know that the width is 12. Let's find the length: \n" ); document.write( "L = 2W + 6 \n" ); document.write( "L = 2(12) + 6 \n" ); document.write( "L = 24 +6 = 30 \n" ); document.write( "The length is 30 \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \n" ); document.write( "Check: \n" ); document.write( "2L + 2W = 84 \n" ); document.write( "2(30) + 2(12) = 84 \n" ); document.write( "60 + 24 = 84 Correct \n" ); document.write( " |