Question 14
Isabelle placed a rectangular paper ABCD on the circle of radius 5 cm with center O so that point O lies on the line segment CD. AB cuts the circle at E and CD cuts the circle at F. Given that EB = 6 cm and DF = 7 cm, find the area of the rectangle ABCD.

Editorial reading of the figure: B lies on the circumference as drawn, so EB is a chord. This extra incidence is needed; the words alone do not explicitly state it.

Editorial reading of the figure: B lies on the circumference as drawn, so EB is a chord. This extra incidence is needed; the words alone do not explicitly state it.