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| Math Central | Quandaries & Queries |
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Please help me find the area of my lot. I am sending a fax of the drawing and dimensions. Zack |
Zack,
I redrew a diagram of the lot and labeled some points. I also extracted the dimensions.
| Side | Length | Bearing |
|---|---|---|
| AB | 211.30 | N 25 15' 58" E |
| BC | 47.89 | S 68 00" 18" E |
| CD | 29.88 | S 45 00' 00" E |
| DE | 180.70 | N 47 15' 58" E |
| EF | 102.17 | N 42 44' 02" W |
| FA | 50.6 | N 52 00' 00" W |
The side FA is slightly curved So I approximated this side by the straight line from F to A and I approximated the bearing of this line in the table above.
I used the Surveyor's Area formula that Chris Fisher described in an answer to an earlier question and a Microsoft Excel tool the Steve La Rocque constructed to calculate the area.
(You can download the spreadsheet in MS excel format if you like).
You diagram didn't give units but I expect the side lengths are given in feet. There are 43,560 square feet in an acre so my calculations give 21,922.10/43,560 = 0.50 acres.
I hope this helps,
Harley
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