Question 1189795
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Drawing
<img src = "https://i.imgur.com/xX48aLD.png">
Additional points are<ul><li>A = midpoint of diagonal PR, and on the circle</li><li>B = midpoint of side PS, and on the circle</li><li>C = center of the circle</li><li>D = point directly above point C, on the circle and side PQ</li><li>E = point directly below point C, on the circle and side SR</li></ul>Points B, D and E are points of tangency.


The somewhat inscribed circle has radius 3 cm. 
The diameter is 2*3 = 6 cm, which is the distance from D to E. Therefore, PS = 6 cm as well.


Furthermore, AB = 6 because all diameters of a circle are the same length.
Point A is halfway between P and Q in terms of horizontal distance. Which indicates that PQ = 2*6 = 12 cm.



We found that
PS = 6
PQ = 12
Therefore the area of the rectangle is
area = length*width
area = PS*PQ
area = 6*12
area = 72


Answer: 72 square cm
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