A sports team is building a new stadium on a rectangular lot of land. If the lot measures 8x by 12x and the stadium will be 3x by 6x. How much land will be left for the parking lot?
First, we need to find the area of the lot of land:
Area of the lot = length x width
Area of the lot = 8x x 12x
Area of the lot = 96x^2
Next, we need to find the area of the stadium:
Area of the stadium = length x width
Area of the stadium = 3x x 6x
Area of the stadium = 18x^2
Finally, we need to find the area of the parking lot by subtracting the area of the stadium from the area of the lot:
Area of parking lot = Area of the lot - Area of the stadium
Area of parking lot = 96x^2 - 18x^2
Area of parking lot = 78x^2
Therefore, there will be 78x^2 units of land left for the parking lot.