the soccer field at a park is 9000 square yards. the soccer field takes up 6 and 2 fifths square inches on the map of the park. how many square yards does 1 square inch on the map represent?

To solve this, we need to find how many square yards \( 1 \) square inch on the map represents. Here's the approach:

1. The real-life soccer field is 9,000 square yards.
2. On the map, the soccer field takes up \( 6 \frac{2}{5} \) (or \( \frac{32}{5} \)) square inches.
3. We want to find how many square yards corresponds to \( 1 \) square inch on the map.

The ratio of square yards to square inches can be expressed as:

\[
\text{square yards per square inch} = \frac{9000 \text{ square yards}}{\frac{32}{5} \text{ square inches}}
\]

Let's calculate this:

\[
\frac{9000}{\frac{32}{5}} = 9000 \times \frac{5}{32} = \frac{45000}{32} = 1406.25 \text{ square yards per square inch}
\]

Thus, each square inch on the map represents \( 1406.25 \) square yards in real life.

Would you like further details or have any questions?

Here are 5 related questions:
1. How would the result change if the soccer field were 10,000 square yards?
2. What would happen if the map's scale changed to 5 square inches for the soccer field?
3. How can you convert square yards into square meters for international measurements?
4. How would you calculate the dimensions of the soccer field if its length and width ratio were given?
5. What if the map uses a different scale, how would you adjust the calculation?

**Tip:** When dealing with scale problems, it's helpful to set up the problem as a proportion for clarity.

The soccer field at a park is 9000 square yards. The soccer field takes up 6 and 2 fifths square inches on the map of the park. How many square yards does 1 square inch on the map represent?

Find out how to calculate the number of square yards that 1 square inch on a park map represents. Given a 9000 square yard soccer field taking up 6 2/5 square inches on the map, this problem covers key concepts like ratios, proportions, and division of fractions. Suitable for Grades 6-8.

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