document.write( "Question 621931: a piece of wire 14 cm long is cut into two pieces. one piece is used to form a square shape and the other to form a rectangle shape of which the length is twice its width. find the length of the side of the square if the combined area of the two shapes is 5.35cm^2. \n" ); document.write( "
Algebra.Com's Answer #391149 by ankor@dixie-net.com(22740)\"\" \"About 
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a piece of wire 14 cm long is cut into two pieces.
\n" ); document.write( " one piece is used to form a square shape and
\n" ); document.write( " the other to form a rectangle shape of which the length is twice its width.
\n" ); document.write( " find the length of the side of the square if the combined area of the two shapes is 5.35cm^2
\n" ); document.write( ";
\n" ); document.write( "Let x = the width of the rectangle
\n" ); document.write( "then
\n" ); document.write( "2x = the length of the rectangle
\n" ); document.write( ":
\n" ); document.write( "Let y = the side of the square
\n" ); document.write( "then
\n" ); document.write( "he perimeter of the rectangle: 2(2x) + 2x = 6x
\n" ); document.write( "The perimeter of the squares = 4y
\n" ); document.write( "therefore
\n" ); document.write( "6x + 4y = 14
\n" ); document.write( "Simplify, divide by 2
\n" ); document.write( "3x + 2y = 7
\n" ); document.write( "y = \"%287-3x%29%2F2\"
\n" ); document.write( ":
\n" ); document.write( "The area
\n" ); document.write( "2x^2 + y^2 = 5.35
\n" ); document.write( "y = \"sqrt%285.35-2x%5E2%29\"
\n" ); document.write( ":
\n" ); document.write( "Plot these two equations, you can see there is no intersection, so no solution as the problem is written
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-1%2C+3%2C+-1%2C+3%2C+sqrt%285.35-2x%5E2%29%2C+%287-3x%29%2F2%29+\" \r
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