document.write( "Question 893073: If the width of a certain rectangle is increased by three and the length is reduced by four, we get a square with the same area as the original rectangle. Find the length and width of the original rectangle. \n" ); document.write( "
Algebra.Com's Answer #541089 by ankor@dixie-net.com(22740)\"\" \"About 
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If the width of a certain rectangle is increased by three and the length is reduced by four, we get a square with the same area as the original rectangle. Find the length and width of the original rectangle.
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\n" ); document.write( "we can do this with one unknown
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\n" ); document.write( "let x = side of the square
\n" ); document.write( "then
\n" ); document.write( "(x+4) = rectangle length
\n" ); document.write( "and
\n" ); document.write( "(x-3) = rectangle width
\n" ); document.write( ":
\n" ); document.write( "rect area = square area
\n" ); document.write( "(x+4)(x-3) = x^2
\n" ); document.write( "x^2 - 3x + 4x - 12 = x^2
\n" ); document.write( "subtract x^2 from both sides
\n" ); document.write( "x - 12 = 0
\n" ); document.write( "x = 12 is the side of the square
\n" ); document.write( "then
\n" ); document.write( "16 = the length of the rectangle
\n" ); document.write( "9 = the width
\n" ); document.write( ":
\n" ); document.write( "check 12^2 = 16 * 9
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