Write an expression to find the difference in the maximum area and minimum area efl a thfves regulation soccerfield. Then, evaluate your expression.

To determine the difference between the maximum and minimum areas of a regulation soccer field, we'll use the dimensions specified by the **FIFA Laws of the Game** for international matches. ### FIFA Regulation Dimensions for International Matches: - **Length (Touch Line):** - **Minimum:** 100 meters - **Maximum:** 110 meters - **Width (Goal Line):** - **Minimum:** 64 meters - **Maximum:** 75 meters ### Step 1: Express the Areas - **Maximum Area (A_max):** \[ A_{\text{max}} = \text{Maximum Length} \times \text{Maximum Width} = 110\,m \times 75\,m \] - **Minimum Area (A_min):** \[ A_{\text{min}} = \text{Minimum Length} \times \text{Minimum Width} = 100\,m \times 64\,m \] ### Step 2: Calculate the Areas - **Maximum Area:** \[ A_{\text{max}} = 110\,m \times 75\,m = 8{,}250\,\text{m}^2 \] - **Minimum Area:** \[ A_{\text{min}} = 100\,m \times 64\,m = 6{,}400\,\text{m}^2 \] ### Step 3: Find the Difference \[ \text{Difference} = A_{\text{max}} - A_{\text{min}} = 8{,}250\,\text{m}^2 - 6{,}400\,\text{m}^2 = 1{,}850\,\text{m}^2 \] ### Conclusion The difference between the maximum and minimum areas of a regulation international soccer field is **1,850 square meters**. **Summary Expression:** \[ \text{Difference} = (\text{Max Length} \times \text{Max Width}) - (\text{Min Length} \times \text{Min Width}) = (110\,m \times 75\,m) - (100\,m \times 64\,m) = 1{,}850\,\text{m}^2 \]