document.write( "Question 548636: The lenght of a five-pound note is 5 mm less than twice the width. The area is 9450 mm sq. Find the dimensions of five-pound note. \n" ); document.write( "
Algebra.Com's Answer #357122 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Start with the formula for the area of a rectangle:
\n" ); document.write( "\"A+=+L%2AW\" but the length, L, is given as:
\n" ); document.write( "\"L+=+2W-5\" \"The length...is 5 mm less than twice the width\".
\n" ); document.write( "and the area, A, is given as \"A+=+9450\" sq.mm., so...
\n" ); document.write( "\"9450+=+%282W-5%29%28w%29\" Simplify.
\n" ); document.write( "\"2W%5E2-5W-9450+=+0\" Solve this quadratic equation using the quadratic formula: \"W+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\". a = 2, b = -5, and c = -9450
\n" ); document.write( "\"W+=+%28-%28-5%29%2B-sqrt%28%28-5%29%5E2-4%282%29%28-9450%29%29%29%2F2%282%29\" Evaluate this to get:
\n" ); document.write( "\"W+=+70\" or \"W+=+-67.5\" Discard the negative solution as width is a positive quantity.
\n" ); document.write( "\"W+=+70\"mm and...
\n" ); document.write( "\"L+=+2W-5\"
\n" ); document.write( "\"L+=+140-5\"
\n" ); document.write( "\"L+=+135\"mm.
\n" ); document.write( "
\n" );