



 
Linda, I need more than the lengths of the sides to determine the area. I need to know the shape of the lot, either by telling me the measure of one of the angles or the length of a diagonal. Many different lots with different shapes and different areas could have these side lengths. There is more information at mathcentral.uregina.ca/QQ/database/QQ.09.03/dave1.html Penny Linda wrote back:
Linda, The diagrams you sent do help but I am still not confident that I can find the area exactly. For example for the diagram on the left it looks like the angle at C and the angle at D are both right angles. This can't be true since if they were both right angles then the side from A to B would be longer than 50 ft. I will estimate the area based on the diagram but it really is an estimate. I am going to assume that the sides BC and DA are parallel. In that case ABCD is a trapezoid and the area of a trapezoid is given by
In the case of ABCD this is
You can use the same technique for PQRS if you assume, as indicated by the diagram, that PQ and RS are parallel and the distance between then is 75 ft. I hope this helps,  


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