Final answer:
After finding the areas of both the lot and the stadium by multiplying their respective lengths and widths, we subtract the stadium's area from the lot's area to get 78x², which is the area available for the parking lot.
Step-by-step explanation:
The question asks how much land will be left for the parking lot after a stadium is built on a rectangular lot. To find the answer, we need to calculate the area of the lot and then subtract the area of the stadium from it.
First, we find the area of the lot, which is a rectangle. The formula for the area of a rectangle is length × width. The lot measures 8x by 12x, so the area of the lot is 8x × 12x = 96x².
Next, we calculate the area of the stadium, which is also a rectangle. The stadium measures 3x by 6x, so the area of the stadium is 3x × 6x = 18x².
To find the area left for the parking lot, we subtract the area of the stadium from the area of the lot: 96x² - 18x² = 78x².
Therefore, 78x² of land will be left for the parking lot.