document.write( "Question 805479: The area of a rectangle is 52 ft sq., and the length of the rectangle is 5 ft less than twice the width. Find the dimensions of the rectangle. Please help, I am so confused on this problem. \n" ); document.write( "
Algebra.Com's Answer #485265 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Write an equation for exactly what it says. \n" ); document.write( ": \n" ); document.write( "The area of a rectangle is 52 ft sq., \n" ); document.write( "L * W = 52 \n" ); document.write( ": \n" ); document.write( " and the length of the rectangle is 5 ft less than twice the width. \n" ); document.write( "L = (2W-5) \n" ); document.write( "In the first equation, replace L with (2W-5), and we have \n" ); document.write( "(2W-5)*W = 52 \n" ); document.write( "multiply by W inside the brackets \n" ); document.write( "2W^2 - 5W = 52 \n" ); document.write( "Subtract 52 from both sides, we have a quadratic equation \n" ); document.write( "2W^2 - 5W - 52 = 0 \n" ); document.write( "You can use the quadratic formula to find w, but this will factor to \n" ); document.write( "(2W-13)(W+4) = 0 \n" ); document.write( "The positive solution is all we want her \n" ); document.write( "2W = 13 \n" ); document.write( "W = 13/2 \n" ); document.write( "W = 6.5 ft is the width \n" ); document.write( "We know \n" ); document.write( "L = 2W-5 \n" ); document.write( "L = 2(6.5) - 5 \n" ); document.write( "L = 13 - 5 \n" ); document.write( "L = 8 ft is the length \n" ); document.write( ": \n" ); document.write( "Check this by finding the area with these values \n" ); document.write( "8 * 6.5 = 52 \n" ); document.write( ": \n" ); document.write( "Do you understand this now? C\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |