document.write( "Question 886152: The perimeter of a rectangle is 72 inches. If the length of the rectangle is nine inches more than two times the width, find the dimensions. \n" ); document.write( "
Algebra.Com's Answer #535711 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! Perimeter (fence around) = 2L + 2W \n" ); document.write( "L = 2W + 9 \n" ); document.write( "Substitute the value of L from the bottom equation into the top. \n" ); document.write( "72 = 2L + 2W \n" ); document.write( "72 = 2(2W+9) + 2W \n" ); document.write( "Distribute \n" ); document.write( "72 = 4W + 18 + 2W \n" ); document.write( "Add \n" ); document.write( "72 = 6W + 18 \n" ); document.write( "Subtract 18 from each side \n" ); document.write( "54 = 6W \n" ); document.write( "Divide each side by 6 \n" ); document.write( "9 = W \n" ); document.write( ". \n" ); document.write( "If the width is 9, then the length is (2*9)+9 = 27 \n" ); document.write( "27 + 27 + 9 + 9 = 72 (perimeter = 2*length + 2*width) \n" ); document.write( " |