document.write( "Question 1105794: An artist is designing a logo for a business in the shape of a circle with an inscribed rectangle.the diameter of circle is 6.5 inches and the area of the rectangle is 15 square inches.Find the dimension of the rectangle? \n" ); document.write( "
Algebra.Com's Answer #720684 by Boreal(15235)\"\" \"About 
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The rectangle has to be symmetric with the diameter, so the diagonals have to have diameters of 6.5 in
\n" ); document.write( "LW=15; L=15/W
\n" ); document.write( "L^2+W^2=6.5^2=42.25
\n" ); document.write( "225/W^2+ (W^2)=42.25 by substitution
\n" ); document.write( "225+W^4=42.25W^2, multiplying everything by W^2.
\n" ); document.write( "W^4-42.25W^2+225=0
\n" ); document.write( "4W^4-169W^2+900=0
\n" ); document.write( "W^2=(1/8)(169+/- sqrt (28561-14400); sqrt term= 119
\n" ); document.write( "W^2=36, W=6 using positive root, L=2.5
\n" ); document.write( "(6 inches x 2.5 inches) ANSWER
\n" ); document.write( "W^2=6.25, W=2.5 using negative root, L=6, same result.\r
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