document.write( "Question 890831: The perimeter of a rectangle is 38. If its length is 6 less than 4 times its width, find the dimensions of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #539356 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! A perimeter is a fence around. It is 2 lengths + 2 widths. \n" ); document.write( "L = 4W-6 \n" ); document.write( "P = 2L + 2W \n" ); document.write( "38 = 2L + 2W \n" ); document.write( "Take the known value of L and substitute it into that equation. \n" ); document.write( "38 = 2L + 2W \n" ); document.write( "38 = 2(4W-6) + 2W \n" ); document.write( "Distribute \n" ); document.write( "38 = 8W-12+2W \n" ); document.write( "Add \n" ); document.write( "38 = 10W-12 \n" ); document.write( "Add 12 to each side \n" ); document.write( "50=10W \n" ); document.write( "Divide each side by 10 \n" ); document.write( "5 = W \n" ); document.write( ". \n" ); document.write( "The width is 5. Therefore, the length is (4*5)-6, or 14. \n" ); document.write( "Perimeter is 5+5+14+14, which equals 38. \n" ); document.write( " |