document.write( "Question 629861: The perimeter of a field is 500 feet. Its width (shorter side) is 32 feet less than half its length (longer side). What is its width? \n" ); document.write( "
Algebra.Com's Answer #396581 by Taino(8)![]() ![]() ![]() You can put this solution on YOUR website! Data given: \r \n" ); document.write( "\n" ); document.write( "Perimeter of a rectangular field = 500 ft.\r \n" ); document.write( "\n" ); document.write( "Length of the field = L \n" ); document.write( "Width (W) of the field = 1/2*L - 32\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Perimeter equation for a rectangle: P = 2*L + 2*W\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "500 = 2L + 2*(1/2*L -32) \n" ); document.write( "500 = 2L + L - 64 \n" ); document.write( "500 = 3L - 64 \n" ); document.write( "500 + 64 = 3L\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "564 = 3L -----> L = 564/3 -----> L = 188 Ft.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, W = 1/2*L - 32 = 1/2*(188) - 32 = 94 - 32 = 62 Ft. \n" ); document.write( " W = 62 Ft.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The width of the field is 62 feet. \n" ); document.write( " |