document.write( "Question 162024: the legnth of a rectangle is 4 cm less than twice its width. its perimeter is 40 cm. find the length and width of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #119425 by tutor_paul(519)![]() ![]() You can put this solution on YOUR website! This is a problem of having 2 equations with 2 unknowns. Anytime you have at least as many equations as you have unknowns, you can solve the problem!\r \n" ); document.write( "\n" ); document.write( "Equation #1 is derived from the first statement: \"The length of a rectangle is 4 cm less than twice its width.\" Let L be the length and W be the width. Then you can write the following equation:\r \n" ); document.write( "\n" ); document.write( "Equation #1: \n" ); document.write( "\n" ); document.write( "Equation #2 is derived from the second statement: \"Its perimeter is 40 cm.\" Let P be the Perimeter. The Perimeter of any rectangle is given by:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You are given P, so you can re-write this as: \n" ); document.write( "Equation #2: \n" ); document.write( "\n" ); document.write( "=================================\r \n" ); document.write( "\n" ); document.write( "Now you have developed 2 equations and have 2 unknowns. You are in fat city. Substitute The expression for L from Equation #1 into Equation #2:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "Solve for W: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==================================\r \n" ); document.write( "\n" ); document.write( "Now that you have W, plug that into Equation #1 to find L: \n" ); document.write( " \n" ); document.write( "Solve for L: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "================================== \n" ); document.write( "Good Luck, \n" ); document.write( "tutor_paul@yahoo.com \n" ); document.write( " |