Plot area calculator

Work out the area of a plot from its measured sides. Split an irregular plot into simple sections — rectangles, triangles, trapeziums — and add them up, or take away a cut-out. Every step of the calculation is shown.

Sides measured in

Section 1

Shape

This section is

Rectangle (length × width)

Length

Width

Triangle (three sides)

Side A

Side B

Side C

Triangle (base and height)

Base

Height (at right angles to the base)

Trapezium (two parallel sides and the distance between them)

Side A

Side B

Distance between the parallel sides

Four-sided plot (four sides and one diagonal)

Side A

Side B

Side C

Side D

Diagonal (from the corner where D meets A to the corner where B meets C)

Also show the area in bigha, biswa or another local unit

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How the area is worked out

Rectangle: length × width.
Triangle from three sides: Heron's formula, √(s(s−a)(s−b)(s−c)) with s = half the perimeter. The sides must be able to form a triangle.
Triangle from base and height: base × height ÷ 2, the height measured at right angles to the base.
Trapezium: (sum of the two parallel sides) ÷ 2 × the distance between them.
Four-sided plot: four sides alone do not fix the area, so one diagonal is needed. The plot is split along it into two triangles, each worked out with Heron's formula.