To find the area of the rectangular lot, we need to multiply its length by its width.
The length of the lot is given as 13(3)/(4) m, which can be simplified to 13.75 m. The width is given as 8(4)/(5) m, which can be simplified to 8.8 m.
Now, we can multiply the length and width to find the area:
13.75 m x 8.8 m = 121 m².
Therefore, the area of the rectangular lot is 121 square meters.