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Does anyone one know the length and wingspan of these RC-135K, how do they compare with a civilian 707-100, or a 720. Thank you.

Chalet, according to Wikipedia, the dimensions are:
RC135: length 136ft 3in, wingspan 130ft 10in.
B707-120B: length 145ft 1in, wingspan 130ft 10in
B720: length 136ft 2in, wingspan 130ft 10in

Sorry to be so ignorant--but WHAT is that rectangular compartment that appears to bulge of the R side here?
WHAT is its purpose?

This link is to the Air Force fact sheet on this plane...
http://www.af.mil/About-Us/Fact-Sheets/Display/Article/104608/rc-135vw-rivet-joint/
The bulges on the cheeks of the fuselage conceal antenna of some sort.

Many moons ago I was assigned to a unit that had the RC 135S Cobra Ball- stationed out at beautiful Shemya Alaska. Those aircraft were used to track Russian Missile Launches off the Kamchatka Peninsula. Another job taken over by satellites

Thanks for the link.
Interesting aircraft, no?