Question

fill in the map so that it has equal amounts of land and water.

Explanation:

1. First, count the total number of squares in the map:

• The map is a \(4\times4\) grid, so the total number of squares \(n = 4\times4=16\).
• We want half of the squares to be land and half to be water. So the number of land - squares and water - squares should each be \(\frac{16}{2}=8\).

1. Then, check the current number of land and water squares:

• Count the existing land and water squares. Let's assume we start with some pre - filled squares. But since we need to make them equal, we can start from scratch.

1. Finally, fill the map:

• We can fill 8 squares with the land symbol and 8 squares with the water symbol. For example, we can fill the top - left \(2\times4\) part with land and the bottom - right \(2\times4\) part with water, or any other combination as long as there are 8 land and 8 water squares.

Answer:

Fill 8 squares with the land symbol and 8 squares with the water symbol in any valid combination.