If the piece of land is to be divided into equal parts, we need more information about how you want to divide it. For example:

1. Are you dividing the land into squares, rectangles, or other shapes?
2. What size should each piece of land be?

However, if you want to divide the land into equal squares, the largest possible square that can fit into both dimensions is determined by the greatest common divisor (GCD) of the length and width.

Let's calculate the GCD of 18 and 15 to find the size of the largest square that can divide the land into equal parts.

Calculating GCD...The greatest common divisor (GCD) of 18 and 15 is 3. This means that the largest square that can be used to divide the land equally has sides of 3 units.

Now, to find how many equal pieces of land (each a 3x3 square) can be obtained, we divide the area of the land by the area of one square.

• The area of the land is $18 \times 15 = 270$ square units.
• The area of each square is $3 \times 3 = 9$ square units.

Now, let's divide the total area by the area of one square.You can divide the piece of land into 30 equal squares, each with a side length of 3 units.

Would you like more details or have any questions?

Here are some related questions you might find interesting:

1. What if the length and width were different? How would that affect the number of equal pieces?
2. How would the result change if the pieces were rectangles instead of squares?
3. Can the land be divided into equal triangular pieces?
4. How does the concept of the greatest common divisor (GCD) apply to other geometry problems?
5. What is the smallest possible square you could divide the land into?

Tip: When dividing land or areas, always consider the GCD to maximize the size of the equal parts you want.