document.write( "Question 406015: The area of a rectangle is three times the area of a square. If the rectangle is 15 inches long, and the width of the rectangle is the same as the length of a side of the square, find the dimensions of both the rectangle and the square. \n" ); document.write( "
Algebra.Com's Answer #286622 by Kaloda(2)\"\" \"About 
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let, A = area of rectangle
\n" ); document.write( " B = area of the square
\n" ); document.write( " l = length of the rectangle
\n" ); document.write( " w = width of the rectangle
\n" ); document.write( " s = side of the square\r
\n" ); document.write( "\n" ); document.write( "A = 3B
\n" ); document.write( "l = 15
\n" ); document.write( "w = s
\n" ); document.write( "A = l.w = 3B
\n" ); document.write( "15s = 3s^2
\n" ); document.write( "3s^2 - 15s = 0
\n" ); document.write( "s^2 - 5s = 0
\n" ); document.write( "s^2 - 5s + 25/4 = 25/4
\n" ); document.write( "(s - 5/2)^2 = 25/4
\n" ); document.write( "s - 5/2 = 5/2
\n" ); document.write( "Final answers:
\n" ); document.write( "s = 5
\n" ); document.write( "w = 5
\n" ); document.write( "l = 15
\n" ); document.write( "
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