You need to measure the specific sides of the plot and then compute the area. You can break down the total plot into smaller subsections which are regular and easier for you to compute the area.
First, place the largest rectangle you can within the boundaries of the irregular lot. Then, fill in the remaining areas outside the rectangle with smaller rectangles, triangles and cirlces -- whatever fits best. Keep going using smaller and smaller shapes for the remaing areas until you've covered most of it.
Then, calculate the area of each shape:
Rectangle = Width x Height
Triangle = W x H / 2
Circle = 3.1416 x radius x radius
Add up the areas of all the shapes for the total area of the irregular lot.