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?

1 answer

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.