“ARREARAGE” is a valid word.

agreebe in accord; be in agreement
eagera high wave (often dangerous) caused by tidal flow (as by colliding tidal currents or in a narrow estuary)
rarernot widely known; especially valued for its uncommonness
areae
eagrea high wave (often dangerous) caused by tidal flow (as by colliding tidal currents or in a narrow estuary)
rageeEast Indian cereal grass whose seed yield a somewhat bitter flour, a staple in the Orient

areaa particular geographical region of indefinite boundary (usually serving some special purpose or distinguished by its people or culture or geography)
rarenot widely known; especially valued for its uncommonness
geara toothed wheel that engages another toothed mechanism in order to change the speed or direction of transmitted motion
ragea feeling of intense anger
rearthe back of a military formation or procession
raga
ageeUnited States novelist (1909-1955)
agarany culture medium that uses agar as the gelling agent
eger
gree
ager

area unit of surface area equal to 100 square meters
agehow long something has existed
earthe sense organ for hearing and equilibrium
geea unit of force equal to the force exerted by gravity; used to indicate the force to which a body is subjected when it is accelerated
eraa period marked by distinctive character or reckoned from a fixed point or event
raga small piece of cloth or paper
reg
ere
errto make a mistake or be incorrect
garprimitive predaceous North American fish covered with hard scales and having long jaws with needlelike teeth
agatitle for a civil or military leader (especially in Turkey)
gae
ree
erga cgs unit of work or energy; the work done by a force of one dyne acting over a distance of one centimeter

era trivalent metallic element of the rare earth group; occurs with yttrium
rea rare heavy polyvalent metallic element that resembles manganese chemically and is used in some alloys; is obtained as a by-product in refining molybdenum
ara colorless and odorless inert gas; one of the six inert gases; comprises approximately 1% of the earth's atmosphere
ae
aaa dry form of lava resembling clinkers
aga soft white precious univalent metallic element having the highest electrical and thermal conductivity of any metal; occurs in argentite and in free form; used in coins and jewelry and tableware and photography

ARREARAGE