document.write( "Question 528560: The length of a rectangle is 3 times the width. The perimeter of the rectangle is equal to the perimeter of a triangle that has one side equal to the length of the rectangle. The sum of the other 2 sides of the triangle equals 85. What is the length and width of the rectangle? \n" ); document.write( "
Algebra.Com's Answer #349455 by ankor@dixie-net.com(22740)\"\" \"About 
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Let the three sides of the triangle be; a, b, c
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\n" ); document.write( "Write an equation for each statement.
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\n" ); document.write( "The length of a rectangle is 3 times the width.
\n" ); document.write( "L = 3W
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\n" ); document.write( " The perimeter of the rectangle is equal to the perimeter of a triangle
\n" ); document.write( "2L + 2W = a + b + c
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\n" ); document.write( "that has one side equal to the length of the rectangle.
\n" ); document.write( "a = L
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\n" ); document.write( "The sum of the other 2 sides of the triangle equals 85.
\n" ); document.write( "b + c = 85
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\n" ); document.write( "2L + 2W = a + b + c
\n" ); document.write( "Replace a with L, replace b+c with 85
\n" ); document.write( "2L + 2W = L + 85
\n" ); document.write( "2L - L + 2W = 85
\n" ); document.write( "L + 2W = 85
\n" ); document.write( "Replace L with 3W
\n" ); document.write( "3W + 2W = 85
\n" ); document.write( "5W = 85
\n" ); document.write( " W = 85/5
\n" ); document.write( " W = 17 is the width of the rectangle
\n" ); document.write( "then
\n" ); document.write( "3(17) = 51 is the length of the Rectangle
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\n" ); document.write( "You should confirm this by finding the actual perimeter of the rectangle and the triangle.
\n" ); document.write( " 2(51) + 2(17) = 51 + 85\r
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