Final answer:
To find the area of each cell in the landfill, we need to divide the total area of the landfill by the number of cells. The dimensions of the land are 10 2/3 miles by 6 3/4 miles, and the total area is 72 square miles. Dividing this by 144 cells gives us an area of 1/2 square mile for each cell.
Step-by-step explanation:
To find the area of each cell, we need to divide the total area of the landfill by the number of cells. The given dimensions of the land are 10 2/3 miles by 6 3/4 miles. We can convert these mixed numbers to improper fractions. 10 2/3 miles = (10 * 3 + 2)/3 = 32/3 miles and 6 3/4 miles = (6 * 4 + 3)/4 = 27/4 miles. Now, we can find the total area by multiplying these fractions. The area is (32/3 miles) * (27/4 miles) = (32 * 27)/(3 * 4) = 864/12 = 72 square miles. Finally, we divide this area by the number of cells (144) to find the area of each cell. 72 square miles divided by 144 cells = 1/2 square mile for each cell.