Question 1105794
The rectangle has to be symmetric with the diameter, so the diagonals have to have diameters of 6.5 in
LW=15; L=15/W
L^2+W^2=6.5^2=42.25
225/W^2+ (W^2)=42.25 by substitution
225+W^4=42.25W^2, multiplying everything by W^2.
W^4-42.25W^2+225=0
4W^4-169W^2+900=0
W^2=(1/8)(169+/- sqrt (28561-14400); sqrt term= 119
W^2=36, W=6 using positive root, L=2.5
(6 inches x 2.5 inches) ANSWER
W^2=6.25, W=2.5 using negative root, L=6, same result.