I'm going to get possession of government plot of a housing plot. The total area should be 2160 sq feet equivalent to 3 (three) Katha (a local unit of measurement). The survey drawn a free hand sketch showing 4 length in meters like under

AB = 11.76 meter

BC=15.54 meter

CD = 10.24 meter

DA = 17,76 meter

No angle is marked in the sketch. Now what will be area in square feet or square meter of the plot. I urge those individual expert and expert group to exchange the calculation and help me to produce an area of the aforesaid plot.

Thanks and regards,

Sikder

182.03 sq meters ==> 1959.35 sq ft as dshindy has pointed out.

I have set point A at the origin (0, 0), and the longest segment (AD) as the base.

The coordinates of B (and the height of triangle ABD) are found by trigonometry.

The length of the diagonal BD is from the distance formula.

The area of triangle BCD is found from Heron's formula.

I could stop here, except that I want to make a plot.

Angle ABD is found from the Law of Sines.

Angle BDC is found from the area of the triangle and trig.

Finally the coordinates of C are found from the sum of the angles at D.

Quadrilateral-Calculation-for-ExEx.xlsx