document.write( "Question 937042: A rectangular picture frame measures 30cm by 40cm. A new frame is to be made by increasing each side length by the same amount. The resulting enclosed area is to be 1656cm^2.Find the dimensions of the new picture frame. \n" ); document.write( "
Algebra.Com's Answer #570485 by josgarithmetic(39617)\"\" \"About 
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A rectangular picture frame measures w cm by L cm. A new frame is to be made by increasing each side length by the same amount, u. The resulting enclosed area is to be T cm^2.Find the dimensions of the new picture frame, meaning w+u and L+u. \r
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\n" ); document.write( "\n" ); document.write( "Notice this is not the same as a \"uniform border\" type of rectangle area problem.\r
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\n" ); document.write( "\n" ); document.write( "Original area, wL.
\n" ); document.write( "New area, (w+u)(L+u)
\n" ); document.write( "New area also given, T
\n" ); document.write( "UNKNOWN is u.\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%28%28w%2Bu%29%28L%2Bu%29=T%29\"
\n" ); document.write( "Quadratic equation in the unknown variable, u.
\n" ); document.write( "You can solve this purely symbolically first, or you can substitute the given values any time and solve that way. \n" ); document.write( "
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