Quandaries
and Queries 

My name is Richard living in Las Vegas. My wife and I are interested in buying property in Idaho but the owner can't give us a square footage of the lot. The dimensions are as follows: 121.0 on the left side 157.0 on the right side 135.0 on the bottom 162.0 on the top The bottom right corner of the lot is a true right angle, the rest are not. 

Hi Richard, The fact that the bottom left corner is a right angle makes it possible to calculate the area. I have drawn a rough sketch (not to scale) and labeled the corners so that I can make reference to them.
The fact that angle CDA is a right angle means that the length of DA (157 ft) is the height of the triangle ACD and hence its area is
The fact that angle CDA is a right angle also allows us to use Pythagoras Theorem to calculate the length of CA. By Pythagoras theorem
The final step is to calculate the area of the triangle ABC. This can be accomplished using Heron's Formula. I did this calculation and found the area of the triangle ABC to be 9788.4 square feet. Hence the area of your lot is
Penny 

