Let's solve this step by step. We have a park with a total area of 280 hectares. The land area is one-third of the water area. We need to find the land area.
First, let's set up our variables. Let L represent the land area and W represent the water area, both in hectares. We have two key pieces of information: the total area is 280 hectares, and the land area equals one-third of the water area. This gives us two equations to work with.
Now let's solve the equations. We substitute the second equation into the first. Replace L with one-third W in the total area equation. This gives us one-third W plus W equals 280. Combining the fractions, we get four-thirds W equals 280. Solving for W, we multiply 280 by three-fourths, which gives us 210 hectares for the water area.
Now that we know the water area is 210 hectares, we can find the land area. Using our relationship equation, L equals one-third times W. Substituting 210 for W, we get L equals one-third times 210, which equals 210 divided by 3, giving us 70 hectares for the land area.
The land area of the park is 70 hectares. Let's verify this answer. The land area is 70 hectares and the water area is 210 hectares. Their sum is 280 hectares, which matches the total park area. Also, 70 equals one-third of 210, confirming our relationship. Therefore, the land area is 70 hectares.