A sports team is building a new stadium on a rectangular lot of land. The lot measures 8x by 12x and the field will be 3x by 6x. How much land will be left for the bleachers, restrooms, and other parts of the stadium? Show all the multiplication and subtractions steps that lead to the final answer.
First, calculate the area of the entire lot:
Area = length x width
Area = 8x x 12x
Area = 96x^2
Next, calculate the area of the field:
Area = 3x x 6x
Area = 18x^2
Subtract the area of the field from the area of the entire lot to find the remaining land for the stadium:
Remaining land = 96x^2 - 18x^2
Remaining land = 78x^2
Therefore, there will be 78x^2 of land left for the bleachers, restrooms, and other parts of the stadium.