Question
I have a lot that is a trapezoid 92.94 across the front 167.40 across the rear, one side is 187.58, the other is 148.40 could you tell how many square feet that is and what in acres. Thank You

Answer
Hi Billy,

The area you describe is NOT a true trapezoid because two sides are NOT parallel.  Instead it is an 'irregular quadrilateral' or 'tetragon'.  This makes computation of the area a little more complicated.

Since you provided no information about any of the angles between any two adjoining sides of the tetragon, the area...[the four side-measures can possibly define]... can vary from a minimum to a maximum.

A U.S. Survey acre equals 43559.99 Square-feet.
Assuming the units you provided are in feet, I  calculate an estimated MAXIMUM area of about .455 acres  (19,813.76 ft^2) for the given tetragon information.

In using this number in landscaping and for purchasing such items as fertilizers and seed to spread over the area,... you might just as  well consider it one-half of an acre.

Again, these calculations are an approximation of a maximum area from the given numbers, and I don't even want to begin to consider what the MINIMUM area could be!  But it will be better to have a little fertilizer or seed or whatever left-over using the maximum values if the angles make the area less.
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Incidentally, at your city's county offices you can have access (and printed copies---for a small fee) to the civil engineering survey maps (aka 'plats') which will show how all the lots on your street are distributed in relation to certain longitude and latitude standards. These maps are generally precise to an inch. These maps can also be used to judge land areas and lot sizes.
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To see how an irregular tetragon can define a minimum and a maximum area (as if the vertices were 'hinged'), ... check-out these web-pages:

[01]. http://www.cut-the-knot.org/Curriculum/Geometry/PerpBisectQuadri.shtml

[02]. http://www.geom.uiuc.edu/docs/reference/CRC-formulas/node23.html

[03]. http://mathworld.wolfram.com/Quadrilateral.html
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I Hope this has answered your question(s)!
Have a fantastic Summer!

Visit my Lawn & Gardens webpage for more Lawn and Garden Tips, Facts and Links:
http://hometown.aol.com/eilatlog/lawnol.html

Your Questions and Comments are welcome at ALLEXPERTS.com
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