Definition:Imperial/Area
Definition
The imperial units of area are based on a system of units in which each unit is the square of a corresponding imperial length unit.
The imperial units of area are as follows:
Square Inch
One square inch is equal to a square of side $1$ inch in length.
\(\ds \) | \(\) | \(\ds 1\) | square inch | |||||||||||
\(\ds \) | \(=\) | \(\ds 6 \cdotp 4516 = 2 \cdotp 54^2\) | square centimetres |
The definition is exact.
Square Foot
One square foot is equal to a square of side $1$ foot in length.
\(\ds \) | \(\) | \(\ds 1\) | square foot | |||||||||||
\(\ds \) | \(=\) | \(\ds 144 = 12^2\) | square inches |
Square Yard
One square yard is equal to a square of side $1$ yard in length.
\(\ds \) | \(\) | \(\ds 1\) | square yard | |||||||||||
\(\ds \) | \(=\) | \(\ds 9 = 3^2\) | square feet | |||||||||||
\(\ds \) | \(=\) | \(\ds 1296 = 36^2\) | square inches |
Square Rod, Pole or Perch
One square rod, pole or perch is equal to a square of side $1$ rod, pole or perch in length.
\(\ds \) | \(\) | \(\ds 1\) | square rod, pole or perch | |||||||||||
\(\ds \) | \(=\) | \(\ds 30 \dfrac 1 4 = \paren {5 \dfrac 1 2}^2\) | square yards | |||||||||||
\(\ds \) | \(=\) | \(\ds 272 \dfrac 1 4 = \paren {16 \dfrac 1 2}^2\) | square feet |
Square Chain
One square chain is equal to a square of side $1$ chain in length.
\(\ds \) | \(\) | \(\ds 1\) | square chain | |||||||||||
\(\ds \) | \(=\) | \(\ds 16 = 4^2\) | square rods, poles or perches | |||||||||||
\(\ds \) | \(=\) | \(\ds 484 = 22^2\) | square yards |
Rood
One rood is equal to an oblong measuring $1$ chain by $2 \frac 1 2$ chains.
\(\ds \) | \(\) | \(\ds 1\) | rood | |||||||||||
\(\ds \) | \(=\) | \(\ds 2 \tfrac 1 2\) | square chains | |||||||||||
\(\ds \) | \(=\) | \(\ds 40\) | square rods, poles or perches | |||||||||||
\(\ds \) | \(=\) | \(\ds 1210\) | square yards | |||||||||||
\(\ds \) | \(=\) | \(\ds 10 \, 890\) | square feet |
Acre
One acre is equal to an oblong measuring $1$ chain by $1$ furlong.
That is, measuring $4$ rods, poles or perches by $10$ chains.
\(\ds \) | \(\) | \(\ds 1\) | acre | |||||||||||
\(\ds \) | \(=\) | \(\ds 4\) | roods | |||||||||||
\(\ds \) | \(=\) | \(\ds 10\) | square chains | |||||||||||
\(\ds \) | \(=\) | \(\ds 160 = 4 \times 40\) | square rods, poles or perches | |||||||||||
\(\ds \) | \(=\) | \(\ds 4840 = 22 \times 220\) | square yards |
Square Mile
One square mile is equal to a square whose side measures $1$ mile.
\(\ds \) | \(\) | \(\ds 1\) | square mile | |||||||||||
\(\ds \) | \(=\) | \(\ds 640\) | acres |