# The Primel Base Unit of Area: The ′areanel, or ′morsel-area Edit

The Primel base unit of area, the **′areanel** (abbreviated ′Arℓ), is derived by squaring the ′lengthel.

- ′areanel = ′lengthel
^{2 }

- ′areanel = ′lengthel

This is the area of a square exactly 8.20208__3___{d} millimeters on a side, or about 67.2741710069444_{d} square millimeters, slightly over 2/3 of a square centimeter. In USC units, this is equivalent to a square exactly 0.32291__6___{d} inches on a side, or exactly 0.1042751736__1__ square inches, slightly over a tenth of a square inches. Since it is the square of the ′lengthel, and since the Primel nickname for the the ′lengthel is the ′morsel, Primel proposes to colloquialize the ′areanel as the **′morsel-area**.

# Convenient Powers and Multiples of the ′areanel Edit

Since the first several positive dozenal powers of the ′lengthel, as well as their multiples by three, have been granted colloquial names, the area units that are their squares, i.e., the first several *even* positive powers of the ′areanel, and their multiples by nine (three squared), will get colloquial names based on those. The odd powers of the ′areanel, where possible, will be given unique colloquial names.

## The ennea′areanel, or ′pollical-area Edit

The **ennea′areanel** (abbreviated e•′Arℓ) is an area of nine ′morsel-areas. This is equivalent to exactly 6.054675390625_{d} square centimeters, or exactly 0.9384765625_{d} (0.Ɛ3183_{z}) square inches. This is equivalent to a square ′pollical-length; consequently, Primel proposes giving this unit the colloquial name of **′pollical-area**.

## The unqua′areanel, or ′vectigal-area Edit

The first positive dozenal power of the ′areanel, the **unqua′areanel** (abbreviated u↑′Arℓ) is a dozen ′morsel-areas. This is equivalent to exactly 8.0729005208__3___{d} square centimeters, or exactly 1.25130208__3___{d} (1.3023_{z}) square inches. This is about the size of a largish postage stamp; consequently, Primel proposes giving this unit the colloquial name of **′vectigal-area**, derived from *vectigalia*, Latin for "postage".

## The biqua′areanel, or ′manipular-area Edit

The second positive dozenal power of the ′areanel, the **biqua′areanel** (abbreviated b↑′Arℓ) is one square ′manipular-length, and hence can be nicknamed the **′manipular-area**. This is the area of a square with a side of exactly 9.8425_{d} centimeters, or very nearly a decimeter; this comes out to exactly 96.87480625_{d} square centimeters, very nearly a square decimeter. In USC units, this square has a side of exactly 3.875_{d} inches, or very nearly one 4-inch USC hand; this comes out to exactly 15.015625_{d} square inches, or exactly 0.104275_{d} square foot.

The diagram below shows the relative sizes of the ′areanel, the ennea′areanel, the unqua′areanel, and the biqua′areanel. (If your browser is at 100%_{z} zoom on a typical monitor, then the diagram should be fairly close to actual size.)

Note that ennea (nine) and biqua (one gross) are perfect squares, whereas unqua (one dozen) is not. Therefore the biqua′areanel can be represented as a perfect square shape composed of one gross ′areanel units arranged in a 10_{z}×10_{z} array. Likewise, the ennea′areanel can be represented as a perfect square shape composed of nine ′areanel units arranged in a 3×3 array. Then, one dozen four of these squares can be packed in a 4×4 arrangement, to fully tesselate the ′biqua-areanel. On the other hand, the unqua′areanel, if composed out of whole ′areanel squares, must be rectangular; however, because of the divisibility of the number twelve, this can be a 3×4 rectangle. Then, a dozen of these rectangles can be packed into a complementary 4×3 arrangement, to fully tessellate a square-shaped ′biqua-areanel.

This is a somewhat more satisfactory situation compared to what could be done in decimal. 10_{d} square centimeters could at best be arranged into a 2×5 array. And then 10_{d} such rectangles would need to be packed into a complementary 5×2 arrangement to fully tesselate a square decimeter.

This relationship between the ′areanel, ennea′areanel, unqua′areanel, and biqua′areanel is repeated, congruently, between the biqua′areanel, ennea-biqua′areanel, triqua′areanel, and quadqua′areanel; between the quadqua′areanel, ennea-quadqua′areanel, pentqua′areanel, and hexqua′areanel; and so on.

## The ennea-biqua′areanel, or ′podial-area Edit

The **ennea-biqua′areanel** (abbreviated e•b↑′Arℓ) is an area of nine ′manipular-areas. This is equivalent to exactly 8.7187325625_{d} square decimeters, or exactly 0.9384765625_{d} (0.Ɛ3183_{z}) square feet. This is equivalent to a square ′podial-length; consequently, Primel proposes giving this unit the colloquial name of **′podial-area**.

## The triqua′areanel, or ′tabellar-area Edit

The third positive dozenal power of the ′areanel, the **triqua′areanel** (abbreviated t↑′Arℓ) is a dozen ′manipular-areas. This is equivalent to exactly 11.62497675__3___{d} square decimeters, or exactly 1.25130208__3___{d} (1.3023_{z}) square feet. This is equivalent to a rectangle exactly 11.625_{d} (Ɛ.76_{z}) inches by 15.5_{d} (13.6_{z}) inches; in Primel units, this would be 10_{z} ′pollical-lengths by 14_{z} ′pollical-lengths, or 3 ′manipular-lengths by 4 ′manipular-lengths. This is about the are of an average laptop or tablet screen. Consequently, Primel proposes nicknaming this unit the **′tabellar-area**, from *tabella*, Latin for "writing tablet".

## The quadqua′areanel, or ′ulnaral-area Edit

The fourth positive dozenal power of the ′areanel, the **quadqua′areanel** (abbreviated q↑′Arℓ) is a square ′ulnaral-length, and hence can be nicknamed the **′ulnaral-area**. This is the area of a square with a side of exactly 1.1811_{d} meters; this comes out exactly 1.39499721_{d} square meters. In USC units, this square has a side of exactly 46.5_{d} inches; this comes out to exactly 15.015625_{d} (13.023_{z}) square feet, or exactly 1.668402__7___{d} (1.803_{z}) square yards.

## The ennea-quadqua′areanel, or ′chambral-area Edit

The **ennea-quadqua′areanel** (abbreviated e•q↑′Arℓ) is an area of nine ′ulnaral-areas. This is equivalent to 12.55497489_{d} square meters, or exactly 135.140625_{d} (Ɛ3.183_{z}) square feet, or exactly 15.015625_{d} (13.023_{z}) square yards. This is equivalent to a square ′chambral-length; consequently, Primel proposes giving this unit the colloquial name of **′chambral-area**.

## The pentqua′areanel, or ′pontal-area Edit

The fifth positive dozenal power of the ′areanel, the **pentqua′areanel** (abbreviated p↑′Arℓ) is a dozen ′ulnaral-areas, equivalent to the area of a rectangle of 3 ′ulnaral-lengths by 4 ′ulnaral-lengths. This is equivalent to exactly 16.73996652_{d} square meters, or exactly 180.1875_{d} (130.23_{z}) square feet, or exactly 20.0208__3___{d} (18.03_{z}) square yards. This is about the area of a typical patio deck; consequently, Primel proposes to nickname this the '**′pontal-area**, derived from Latin *pons*, "drawbridge, gangway, deck".

## The hexqua′areanel, or ′habital-area Edit

The sixth positive dozenal power of the ′areanel, the **hexqua′areanel** (abbreviated h↑′Arℓ) is a square ′habital-length, and hence can be nicknamed the **′habital-area**. This is the area of a square with a side of exactly 14.1732_{d} meters; this comes out to an area of exactly 200.87958724_{d} square meters, or 2.0087958724 are. In USC units, this square has a side of exactly 46.5_{d} feet; this comes out to exactly 2162.25_{d} (1302.3_{z}) square feet, or exactly 240.25_{d} (180.3_{z}) square yards. It turns out that this is only very slightly less than the floor area of the average home in the United States.

## The ennea-hexqua′areanel, or ′colossal-area Edit

The **ennea-hexqua′areanel** (abbreviated e•h↑′Arℓ) is an area of nine ′habital-areas. This is equivalent to exactly 19,460.25_{d} (Ɛ318.3_{z}) square feet, or exactly 2162.25_{d} (1302.3_{z}) square yards, or approximately 0.44675_{d} acres, or 18.0791638416 ares. This is equivalent to a square ′colossal-length; consequently, Primel proposes giving this unit the colloquial name of **′colossal-area**.

## The septqua′areanel, or ′jugeral-area Edit

The seventh positive dozenal power of the ′areanel, the **septqua′areanel** (abbreviated s↑′Arℓ) is a dozen ′habital-areas. This is equivalent to about 2,410.55517888_{d} square meters or 24.1055517888_{d} ares, a little less than a quarter hectare. In USC units, this is exactly 25,947_{d} (13,023_{z}) square feet, or exactly 2,883_{d} (1,803_{z}) square yards, or approximately 0.595661157025_{d} acres, about 3/5 of an acre. It turns out that this is quite close to an ancient Roman unit of area called the *jugerum*, which was apparently considered the amount of land that a *jugum*, or "yoke" of two oxen, could plow in a day. Hence Primel proposes to also nickname this unit the **′jugeral-area**.

## The octqua′areanel, or ′stadial-area Edit

The eighth positive dozenal power of the ′areanel, the **octqua′areanel** (abbreviated o↑′Arℓ) is a square ′stadial, and hence can be nicknamed the **′stadial-area**. This is the area of a square with a side of exactly 170.0784_{d} meters; this comes out to an area of exactly 28,926.66214656_{d} square meters, or 2.892666214656 hectares. In USC units, this square has a side of exactly 558_{d} feet; this comes out to an area of exactly 311,364_{d} (130,230_{z}) square feet, or exactly 34,596_{d} (18,030_{z}) square yards, or about 7.14793388430_{d} acres.

## The ennea-octqua′areanel, or ′turrial-area Edit

The **ennea-octqua′areanel** (abbreviated e•o↑′Arℓ) is an area of nine ′stadial-areas. This is equivalent to exactly 2,802,276_{d} (Ɛ31,830_{z}) square feet, or exactly 311,364_{d} (130,230_{z}) square yards, or about 64.33140_{d} acres, or about 26.0340_{d} hectares. This is equivalent to a square ′turrial length; consequently, Primel proposes giving this unit the colloquial name of **′turrial-area**.

## The ennqua′areanel, or ′vicinital-area Edit

The ninth positive dozenal power of the ′areanel, the **ennqua′areanel** (abbreviated e↑′Arℓ) is a dozen ′stadial-areas. This is equivalent to about 34.7119945759_{d} hectares, or 0.347119945759_{d} square kilometers, a bit more than a third of a square kilometer. In USC units, this is about 85.7752066116_{d} acres, or about 0.13402376033058_{d} square miles, on the order of the size of a neighborhood or municipal subdivision. Consequently, Primel proposes nicknaming this unit the **′vicinital-area**, from *vicinitas*, Latin for "neighborhood".

## The decqua′arenael, or ′dromal-area Edit

The tenth positive dozenal power of the ′areanel, the **decqua′areanel** (abbreviated d↑′Arℓ) is a square ′dromal-length, and hence can be nicknamed the **′dromal-area**. This is the area of a square with a side of exactly 2.0409408_{d} kilometers; this comes out to an area of exactly 4.16543934910464_{d} square kilometers or 416.543934910464_{d} hectares. In USC units, this square has a side of exactly 6,696_{d} feet or exactly 1.26__81___{d} miles; this comes out to an area of exactly 44,836,416_{d} (13,023,000_{z}) square feet, or exactly 4,981,824_{d} (1,803,000_{z}) square yards, or about 1,029.30247934_{d} acres, or about 1.60828512397_{d} square miles.

## The ennea-decqua′areanel, or ′parasangal-area Edit

The **ennea-decqua′areanel** (abbreviated e•d↑′Arℓ) is an area of nine ′dromal-areas. This is equivalent to about 37.4889541419_{d} (almost exactly 37.5_{d}) square kilometers. In USC units, this is about 9263.722314_{d} acres, or about 14.474566115703_{d} square miles. This is equivalent to a square ′parasangal-length; consequently, Primel proposes giving this unit the colloquial name of **′parasangal-area**.

## The levqua′areanel, or ′municipal-area Edit

The eleventh positive dozenal power of the ′areanel, the **levqua′areanel** (abbreviated ℓ↑′Arℓ) is a dozen ′dromal-areas. This is equivalent to about 49.9852721893_{d} (almost exactly 50_{d}) square kilometers. In USC units, this is about 12,351.6297521_{d} acres, or about 19.29942148763_{d} square miles. This is on the order of the size of a small town or a central part of a city, so on the strength of that, Primel proposes to nickname this the **′municipal-area**.

## The unnilqua′areanel, or ′itineral-area Edit

The dozenth positive dozenal power of the ′areanel, the **unnilqua′areanel** (abbreviated un↑′Arℓ) is a square ′itineral, and hence can be nicknamed the **′itineral-area**. This is the area of a square with a side of exactly 24.4912896_{d} kilometers; this comes out to an area of exactly 599.823266271_{d} (almost exactly 600_{d}) square kilometers. In USC units, this square has a side of exactly 15.2__18___{d} miles; this comes out to an area of about 231.593057851_{d} square miles.

## The ununqua′areanel Edit

The dozen-first positive dozenal power of the ′areanel, the **ununqua′areanel** (abbreviated uu↑′Arℓ) is a dozen ′itineral-areas. This is equivalent to about 7197.87919525282_{d} (almost exactly 7200_{d}) square kilometers. In USC units, this is about 2779.11669421_{d} square miles.

## The unbiqua′areanel, or ′regional-area Edit

The dozen-second positive dozenal power of the ′areanel, the **unbiqua′areanel** (abbreviated ub↑′Arℓ) is a square ′regional, and hence can be nicknamed the **′regional-area**. This is an area of about 86,374.5503430_{d} (almost exactly 86,400_{d}) square kilometers, or about 33,349.400331_{d} square miles.

## The untriqua′areanel Edit

The dozen-third positive dozenal power of the ′areanel, the **untriqua′areanel** (abbreviated ut↑′Arℓ) is a dozen ′regional-areas. This is equivalent to about 1,036,494.60412_{d} (almost exactly one million) square kilometers. In USC units, this is about 400,192.803967_{d} (almost exactly 4 hundred thousand) square miles.

## The unquadqua′areamel, or ′continental-area Edit

The dozen-fourth positive dozenal power of the ′areanel, the **unquadqua′areanel** (abbreviated uq↑′Arℓ) is a square ′continental, and hence can be nicknamed the **′continental-area**. This is an area of about 12,437,935.2494_{d} (almost exactly 12_{d} million) square kilometers, or about 4,802,313.64760_{d} square miles.

## The unpentqua′areanel Edit

The dozen-fifth positive dozenal power of the ′areanel, the **unpentqua′areanel** (abbreviated up↑′Arℓ) is a dozen ′continental-areas. This is equivalent to about 149,255,222.993_{d} square kilometers, or about 57,627,763.7712_{d} square miles.

## The unhexqua′areanel, or ′orbital-area Edit

The dozen-sixth positive dozenal power of the ′areanel, the **unhexqua′areanel** (abbreviated uh↑′Arℓ) is a square ′orbital, and hence can be nicknamed the **′orbital-area**. This is an area of about 1,791,062,675.91_{d} square kilometers, or about 691,533,165.255_{d} square miles.