document.write( "Question 626852: The perimeter of a rectangle is 46ft the length is 5 ft longer than its width what are the dimensions? \n" ); document.write( "
Algebra.Com's Answer #394506 by mengayzkie(3)![]() ![]() ![]() You can put this solution on YOUR website! The formula for Perimeter is : \n" ); document.write( "P=2L+2W \n" ); document.write( "Given: \n" ); document.write( "P=46ft \n" ); document.write( "L=5ft + W (length is 5 ft longer that its width)\r \n" ); document.write( "\n" ); document.write( "Substitute the value of L to the formula P=2L+2W\r \n" ); document.write( "\n" ); document.write( "P = 2(5ft + W) + 2W \n" ); document.write( "P = 10ft + 2W + 2W \n" ); document.write( "P = 10ft + 4W\r \n" ); document.write( "\n" ); document.write( "Substitute the value of P (Perimeter from the given)\r \n" ); document.write( "\n" ); document.write( "46ft = 10ft + 4W \n" ); document.write( "46ft - 10ft = 4W \n" ); document.write( "36ft = 4W\r \n" ); document.write( "\n" ); document.write( "Divide both sides of the equation by 4\r \n" ); document.write( "\n" ); document.write( "9 = w \n" ); document.write( "or \n" ); document.write( "====== \n" ); document.write( "w = 9 \n" ); document.write( "======\r \n" ); document.write( "\n" ); document.write( "Substitute the computed value of w to the equation \n" ); document.write( "L = 5ft + w \n" ); document.write( "L = 5ft + 9\r \n" ); document.write( "\n" ); document.write( "========== \n" ); document.write( "L = 14ft \n" ); document.write( "==========\r \n" ); document.write( "\n" ); document.write( "Checking: \n" ); document.write( "Substitute the computed value of L and W in the original equation of P: \n" ); document.write( "P = 2L + 2W \n" ); document.write( "P = 2(14ft) + 2(9ft) \n" ); document.write( "P = 28ft + 18ft \n" ); document.write( "from the given; P = 46ft\r \n" ); document.write( "\n" ); document.write( "46ft = 28ft + 18ft \n" ); document.write( "46ft = 46ft checked! \n" ); document.write( " |