document.write( "Question 42157: The perimeter of a rectangular brick wall is 68 feet and its area is 280 square feet. What is the length of the longer side of the wall? \n" ); document.write( "
Algebra.Com's Answer #27318 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Here \n" ); document.write( "P = 2L + 2W = 68 \n" ); document.write( "A = LW = 280 \n" ); document.write( "Now divide by two...and get \n" ); document.write( "L + W = 34 \n" ); document.write( "W = 34 - L \n" ); document.write( "now substitute \n" ); document.write( "A = LW = L(34 - L) = 280 \n" ); document.write( "34L - L^2 = 280 \n" ); document.write( "L^2 - 34L + 280 = 0 \n" ); document.write( "(L - 14)(L - 20) = 0 \n" ); document.write( "L = 14 or L = 20 \n" ); document.write( "Thus L = 20 and W = 14 \n" ); document.write( " |