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)\"\" \"About 
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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: \"L=2W-4\"\r
\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( "\"P=2L%2B2W\"\r
\n" ); document.write( "\n" ); document.write( "You are given P, so you can re-write this as:
\n" ); document.write( "Equation #2: \"40=2L%2B2W\"\r
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\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( "\"40=2%282W-4%29%2B2W\"
\n" ); document.write( "Solve for W:
\n" ); document.write( "\"40=4W-8%2B2W\"
\n" ); document.write( "\"6W=48\"
\n" ); document.write( "\"highlight%28W=8+cm%29\"\r
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\n" ); document.write( "\n" ); document.write( "Now that you have W, plug that into Equation #1 to find L:
\n" ); document.write( "\"40=2L%2B2%288%29\"
\n" ); document.write( "Solve for L:
\n" ); document.write( "\"40=2L%2B16\"
\n" ); document.write( "\"2L=24\"
\n" ); document.write( "\"highlight%28L=12cm%29\"
\n" ); document.write( "==================================
\n" ); document.write( "Good Luck,
\n" ); document.write( "tutor_paul@yahoo.com
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